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Finding the Third Proportional to 39,867 and 59,802

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Solution

The third proportional to 39,867 and 59,802 is: 89,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,867 : 59,802 = 59,802 : x
  2. Step 2: Convert to fraction form
    39,867/59,802 = 59,802/x
  3. Step 3: Cross multiply
    39,867x = 59,802 × 59,802
  4. Step 4: Simplify right side
    39,867x = 3,576,279,204
  5. Step 5: Solve for x
    x = 3,576,279,204/39,867
  6. Step 6: Final answer
    x = 89,705.25

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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.