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Finding the Third Proportional to 29,460 and 62,892

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Solution

The third proportional to 29,460 and 62,892 is: 134,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,460 : 62,892 = 62,892 : x
  2. Step 2: Convert to fraction form
    29,460/62,892 = 62,892/x
  3. Step 3: Cross multiply
    29,460x = 62,892 × 62,892
  4. Step 4: Simplify right side
    29,460x = 3,955,403,664
  5. Step 5: Solve for x
    x = 3,955,403,664/29,460
  6. Step 6: Final answer
    x = 134,263.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.