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Finding the Third Proportional to 7,408 and 10,183

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Solution

The third proportional to 7,408 and 10,183 is: 13,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408 : 10,183 = 10,183 : x
  2. Step 2: Convert to fraction form
    7,408/10,183 = 10,183/x
  3. Step 3: Cross multiply
    7,408x = 10,183 × 10,183
  4. Step 4: Simplify right side
    7,408x = 103,693,489
  5. Step 5: Solve for x
    x = 103,693,489/7,408
  6. Step 6: Final answer
    x = 13,997.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.