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Finding the Third Proportional to 16,882 and 36,644

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Solution

The third proportional to 16,882 and 36,644 is: 79,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,882 : 36,644 = 36,644 : x
  2. Step 2: Convert to fraction form
    16,882/36,644 = 36,644/x
  3. Step 3: Cross multiply
    16,882x = 36,644 × 36,644
  4. Step 4: Simplify right side
    16,882x = 1,342,782,736
  5. Step 5: Solve for x
    x = 1,342,782,736/16,882
  6. Step 6: Final answer
    x = 79,539.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.