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Finding the Third Proportional to 32,410.13 and 62,542.13

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Solution

The third proportional to 32,410.13 and 62,542.13 is: 120,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 62,542.13 = 62,542.13 : x
  2. Step 2: Convert to fraction form
    32,410.13/62,542.13 = 62,542.13/x
  3. Step 3: Cross multiply
    32,410.13x = 62,542.13 × 62,542.13
  4. Step 4: Simplify right side
    32,410.13x = 3,911,517,399.52
  5. Step 5: Solve for x
    x = 3,911,517,399.52/32,410.13
  6. Step 6: Final answer
    x = 120,688.13

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.