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Finding the Third Proportional to 39,487.50 and 54,327.38

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Solution

The third proportional to 39,487.50 and 54,327.38 is: 74,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,487.50 : 54,327.38 = 54,327.38 : x
  2. Step 2: Convert to fraction form
    39,487.50/54,327.38 = 54,327.38/x
  3. Step 3: Cross multiply
    39,487.50x = 54,327.38 × 54,327.38
  4. Step 4: Simplify right side
    39,487.50x = 2,951,463,674.39
  5. Step 5: Solve for x
    x = 2,951,463,674.39/39,487.50
  6. Step 6: Final answer
    x = 74,744.25

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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.