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Finding the Third Proportional to 40,849.31 and 56,251.97

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Solution

The third proportional to 40,849.31 and 56,251.97 is: 77,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,849.31 : 56,251.97 = 56,251.97 : x
  2. Step 2: Convert to fraction form
    40,849.31/56,251.97 = 56,251.97/x
  3. Step 3: Cross multiply
    40,849.31x = 56,251.97 × 56,251.97
  4. Step 4: Simplify right side
    40,849.31x = 3,164,283,988.25
  5. Step 5: Solve for x
    x = 3,164,283,988.25/40,849.31
  6. Step 6: Final answer
    x = 77,462.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.