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Finding the Third Proportional to 16,694 and 36,142

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Solution

The third proportional to 16,694 and 36,142 is: 78,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,694 : 36,142 = 36,142 : x
  2. Step 2: Convert to fraction form
    16,694/36,142 = 36,142/x
  3. Step 3: Cross multiply
    16,694x = 36,142 × 36,142
  4. Step 4: Simplify right side
    16,694x = 1,306,244,164
  5. Step 5: Solve for x
    x = 1,306,244,164/16,694
  6. Step 6: Final answer
    x = 78,246.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.