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Finding the Third Proportional to 29,098 and 42,639

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Solution

The third proportional to 29,098 and 42,639 is: 62,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 42,639 = 42,639 : x
  2. Step 2: Convert to fraction form
    29,098/42,639 = 42,639/x
  3. Step 3: Cross multiply
    29,098x = 42,639 × 42,639
  4. Step 4: Simplify right side
    29,098x = 1,818,084,321
  5. Step 5: Solve for x
    x = 1,818,084,321/29,098
  6. Step 6: Final answer
    x = 62,481.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.