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Finding the Third Proportional to 39,001 and 55,732.75

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Solution

The third proportional to 39,001 and 55,732.75 is: 79,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 55,732.75 = 55,732.75 : x
  2. Step 2: Convert to fraction form
    39,001/55,732.75 = 55,732.75/x
  3. Step 3: Cross multiply
    39,001x = 55,732.75 × 55,732.75
  4. Step 4: Simplify right side
    39,001x = 3,106,139,422.56
  5. Step 5: Solve for x
    x = 3,106,139,422.56/39,001
  6. Step 6: Final answer
    x = 79,642.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.