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Finding the Third Proportional to 7,939.69 and 16,934.91

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Solution

The third proportional to 7,939.69 and 16,934.91 is: 36,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.69 : 16,934.91 = 16,934.91 : x
  2. Step 2: Convert to fraction form
    7,939.69/16,934.91 = 16,934.91/x
  3. Step 3: Cross multiply
    7,939.69x = 16,934.91 × 16,934.91
  4. Step 4: Simplify right side
    7,939.69x = 286,791,049.70
  5. Step 5: Solve for x
    x = 286,791,049.70/7,939.69
  6. Step 6: Final answer
    x = 36,121.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.