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Finding the Third Proportional to 40,746.75 and 62,331.56

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Solution

The third proportional to 40,746.75 and 62,331.56 is: 95,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,746.75 : 62,331.56 = 62,331.56 : x
  2. Step 2: Convert to fraction form
    40,746.75/62,331.56 = 62,331.56/x
  3. Step 3: Cross multiply
    40,746.75x = 62,331.56 × 62,331.56
  4. Step 4: Simplify right side
    40,746.75x = 3,885,223,683.69
  5. Step 5: Solve for x
    x = 3,885,223,683.69/40,746.75
  6. Step 6: Final answer
    x = 95,350.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.