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Finding the Third Proportional to 54,000.42 and 72,694.97

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Solution

The third proportional to 54,000.42 and 72,694.97 is: 97,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000.42 : 72,694.97 = 72,694.97 : x
  2. Step 2: Convert to fraction form
    54,000.42/72,694.97 = 72,694.97/x
  3. Step 3: Cross multiply
    54,000.42x = 72,694.97 × 72,694.97
  4. Step 4: Simplify right side
    54,000.42x = 5,284,558,481.56
  5. Step 5: Solve for x
    x = 5,284,558,481.56/54,000.42
  6. Step 6: Final answer
    x = 97,861.43

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Why These Related Problems?

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