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Finding the Third Proportional to 39,690.38 and 54,675.56

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Solution

The third proportional to 39,690.38 and 54,675.56 is: 75,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690.38 : 54,675.56 = 54,675.56 : x
  2. Step 2: Convert to fraction form
    39,690.38/54,675.56 = 54,675.56/x
  3. Step 3: Cross multiply
    39,690.38x = 54,675.56 × 54,675.56
  4. Step 4: Simplify right side
    39,690.38x = 2,989,417,134.69
  5. Step 5: Solve for x
    x = 2,989,417,134.69/39,690.38
  6. Step 6: Final answer
    x = 75,318.44

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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.