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Finding the Third Proportional to 6,183 and 12,060

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Solution

The third proportional to 6,183 and 12,060 is: 23,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183 : 12,060 = 12,060 : x
  2. Step 2: Convert to fraction form
    6,183/12,060 = 12,060/x
  3. Step 3: Cross multiply
    6,183x = 12,060 × 12,060
  4. Step 4: Simplify right side
    6,183x = 145,443,600
  5. Step 5: Solve for x
    x = 145,443,600/6,183
  6. Step 6: Final answer
    x = 23,523.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.