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Finding the Third Proportional to 29,071 and 61,637

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Solution

The third proportional to 29,071 and 61,637 is: 130,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,071 : 61,637 = 61,637 : x
  2. Step 2: Convert to fraction form
    29,071/61,637 = 61,637/x
  3. Step 3: Cross multiply
    29,071x = 61,637 × 61,637
  4. Step 4: Simplify right side
    29,071x = 3,799,119,769
  5. Step 5: Solve for x
    x = 3,799,119,769/29,071
  6. Step 6: Final answer
    x = 130,684.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.