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Finding the Third Proportional to 16,442 and 36,388

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Solution

The third proportional to 16,442 and 36,388 is: 80,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442 : 36,388 = 36,388 : x
  2. Step 2: Convert to fraction form
    16,442/36,388 = 36,388/x
  3. Step 3: Cross multiply
    16,442x = 36,388 × 36,388
  4. Step 4: Simplify right side
    16,442x = 1,324,086,544
  5. Step 5: Solve for x
    x = 1,324,086,544/16,442
  6. Step 6: Final answer
    x = 80,530.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.