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Finding the Third Proportional to 48,291.75 and 74,711.25

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Solution

The third proportional to 48,291.75 and 74,711.25 is: 115,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,291.75 : 74,711.25 = 74,711.25 : x
  2. Step 2: Convert to fraction form
    48,291.75/74,711.25 = 74,711.25/x
  3. Step 3: Cross multiply
    48,291.75x = 74,711.25 × 74,711.25
  4. Step 4: Simplify right side
    48,291.75x = 5,581,770,876.56
  5. Step 5: Solve for x
    x = 5,581,770,876.56/48,291.75
  6. Step 6: Final answer
    x = 115,584.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.