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Finding the Third Proportional to 32,231 and 47,739

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Solution

The third proportional to 32,231 and 47,739 is: 70,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231 : 47,739 = 47,739 : x
  2. Step 2: Convert to fraction form
    32,231/47,739 = 47,739/x
  3. Step 3: Cross multiply
    32,231x = 47,739 × 47,739
  4. Step 4: Simplify right side
    32,231x = 2,279,012,121
  5. Step 5: Solve for x
    x = 2,279,012,121/32,231
  6. Step 6: Final answer
    x = 70,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.