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Finding the Third Proportional to 54,694 and 71,817

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Solution

The third proportional to 54,694 and 71,817 is: 94,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694 : 71,817 = 71,817 : x
  2. Step 2: Convert to fraction form
    54,694/71,817 = 71,817/x
  3. Step 3: Cross multiply
    54,694x = 71,817 × 71,817
  4. Step 4: Simplify right side
    54,694x = 5,157,681,489
  5. Step 5: Solve for x
    x = 5,157,681,489/54,694
  6. Step 6: Final answer
    x = 94,300.68

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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.