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Finding the Third Proportional to 39,872 and 57,952

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Solution

The third proportional to 39,872 and 57,952 is: 84,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872 : 57,952 = 57,952 : x
  2. Step 2: Convert to fraction form
    39,872/57,952 = 57,952/x
  3. Step 3: Cross multiply
    39,872x = 57,952 × 57,952
  4. Step 4: Simplify right side
    39,872x = 3,358,434,304
  5. Step 5: Solve for x
    x = 3,358,434,304/39,872
  6. Step 6: Final answer
    x = 84,230.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.