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Finding the Third Proportional to 7,424 and 13,712

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Solution

The third proportional to 7,424 and 13,712 is: 25,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 13,712 = 13,712 : x
  2. Step 2: Convert to fraction form
    7,424/13,712 = 13,712/x
  3. Step 3: Cross multiply
    7,424x = 13,712 × 13,712
  4. Step 4: Simplify right side
    7,424x = 188,018,944
  5. Step 5: Solve for x
    x = 188,018,944/7,424
  6. Step 6: Final answer
    x = 25,325.83

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 (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.