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Finding the Third Proportional to 32,376 and 50,247

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Solution

The third proportional to 32,376 and 50,247 is: 77,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376 : 50,247 = 50,247 : x
  2. Step 2: Convert to fraction form
    32,376/50,247 = 50,247/x
  3. Step 3: Cross multiply
    32,376x = 50,247 × 50,247
  4. Step 4: Simplify right side
    32,376x = 2,524,761,009
  5. Step 5: Solve for x
    x = 2,524,761,009/32,376
  6. Step 6: Final answer
    x = 77,982.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.