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Finding the Third Proportional to 39,232 and 59,872

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Solution

The third proportional to 39,232 and 59,872 is: 91,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232 : 59,872 = 59,872 : x
  2. Step 2: Convert to fraction form
    39,232/59,872 = 59,872/x
  3. Step 3: Cross multiply
    39,232x = 59,872 × 59,872
  4. Step 4: Simplify right side
    39,232x = 3,584,656,384
  5. Step 5: Solve for x
    x = 3,584,656,384/39,232
  6. Step 6: Final answer
    x = 91,370.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.