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Finding the Third Proportional to 16,780 and 36,472

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Solution

The third proportional to 16,780 and 36,472 is: 79,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 36,472 = 36,472 : x
  2. Step 2: Convert to fraction form
    16,780/36,472 = 36,472/x
  3. Step 3: Cross multiply
    16,780x = 36,472 × 36,472
  4. Step 4: Simplify right side
    16,780x = 1,330,206,784
  5. Step 5: Solve for x
    x = 1,330,206,784/16,780
  6. Step 6: Final answer
    x = 79,273.35

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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.