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Finding the Third Proportional to 13,489.50 and 29,637

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Solution

The third proportional to 13,489.50 and 29,637 is: 65,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.50 : 29,637 = 29,637 : x
  2. Step 2: Convert to fraction form
    13,489.50/29,637 = 29,637/x
  3. Step 3: Cross multiply
    13,489.50x = 29,637 × 29,637
  4. Step 4: Simplify right side
    13,489.50x = 878,351,769
  5. Step 5: Solve for x
    x = 878,351,769/13,489.50
  6. Step 6: Final answer
    x = 65,113.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.