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Finding the Third Proportional to 40,114.69 and 60,332.06

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Solution

The third proportional to 40,114.69 and 60,332.06 is: 90,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,114.69 : 60,332.06 = 60,332.06 : x
  2. Step 2: Convert to fraction form
    40,114.69/60,332.06 = 60,332.06/x
  3. Step 3: Cross multiply
    40,114.69x = 60,332.06 × 60,332.06
  4. Step 4: Simplify right side
    40,114.69x = 3,639,957,765.50
  5. Step 5: Solve for x
    x = 3,639,957,765.50/40,114.69
  6. Step 6: Final answer
    x = 90,738.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.