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Finding the Third Proportional to 40,141.69 and 54,070.31

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Solution

The third proportional to 40,141.69 and 54,070.31 is: 72,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,141.69 : 54,070.31 = 54,070.31 : x
  2. Step 2: Convert to fraction form
    40,141.69/54,070.31 = 54,070.31/x
  3. Step 3: Cross multiply
    40,141.69x = 54,070.31 × 54,070.31
  4. Step 4: Simplify right side
    40,141.69x = 2,923,598,693.85
  5. Step 5: Solve for x
    x = 2,923,598,693.85/40,141.69
  6. Step 6: Final answer
    x = 72,831.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.