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Finding the Third Proportional to 32,086 and 47,864

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Solution

The third proportional to 32,086 and 47,864 is: 71,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086 : 47,864 = 47,864 : x
  2. Step 2: Convert to fraction form
    32,086/47,864 = 47,864/x
  3. Step 3: Cross multiply
    32,086x = 47,864 × 47,864
  4. Step 4: Simplify right side
    32,086x = 2,290,962,496
  5. Step 5: Solve for x
    x = 2,290,962,496/32,086
  6. Step 6: Final answer
    x = 71,400.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.