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Finding the Third Proportional to 39,434 and 59,151

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Solution

The third proportional to 39,434 and 59,151 is: 88,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434 : 59,151 = 59,151 : x
  2. Step 2: Convert to fraction form
    39,434/59,151 = 59,151/x
  3. Step 3: Cross multiply
    39,434x = 59,151 × 59,151
  4. Step 4: Simplify right side
    39,434x = 3,498,840,801
  5. Step 5: Solve for x
    x = 3,498,840,801/39,434
  6. Step 6: Final answer
    x = 88,726.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.