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Finding the Third Proportional to 40,464 and 60,149.25

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Solution

The third proportional to 40,464 and 60,149.25 is: 89,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 60,149.25 = 60,149.25 : x
  2. Step 2: Convert to fraction form
    40,464/60,149.25 = 60,149.25/x
  3. Step 3: Cross multiply
    40,464x = 60,149.25 × 60,149.25
  4. Step 4: Simplify right side
    40,464x = 3,617,932,275.56
  5. Step 5: Solve for x
    x = 3,617,932,275.56/40,464
  6. Step 6: Final answer
    x = 89,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.