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Finding the Third Proportional to 54,568.69 and 71,707.78

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Solution

The third proportional to 54,568.69 and 71,707.78 is: 94,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,568.69 : 71,707.78 = 71,707.78 : x
  2. Step 2: Convert to fraction form
    54,568.69/71,707.78 = 71,707.78/x
  3. Step 3: Cross multiply
    54,568.69x = 71,707.78 × 71,707.78
  4. Step 4: Simplify right side
    54,568.69x = 5,142,005,891.80
  5. Step 5: Solve for x
    x = 5,142,005,891.80/54,568.69
  6. Step 6: Final answer
    x = 94,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.