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Finding the Third Proportional to 29,806 and 62,059

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Solution

The third proportional to 29,806 and 62,059 is: 129,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806 : 62,059 = 62,059 : x
  2. Step 2: Convert to fraction form
    29,806/62,059 = 62,059/x
  3. Step 3: Cross multiply
    29,806x = 62,059 × 62,059
  4. Step 4: Simplify right side
    29,806x = 3,851,319,481
  5. Step 5: Solve for x
    x = 3,851,319,481/29,806
  6. Step 6: Final answer
    x = 129,212.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.