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Finding the Third Proportional to 40,686 and 59,163

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Solution

The third proportional to 40,686 and 59,163 is: 86,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686 : 59,163 = 59,163 : x
  2. Step 2: Convert to fraction form
    40,686/59,163 = 59,163/x
  3. Step 3: Cross multiply
    40,686x = 59,163 × 59,163
  4. Step 4: Simplify right side
    40,686x = 3,500,260,569
  5. Step 5: Solve for x
    x = 3,500,260,569/40,686
  6. Step 6: Final answer
    x = 86,031.08

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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.