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Finding the Third Proportional to 3,624.47 and 7,939.97

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Solution

The third proportional to 3,624.47 and 7,939.97 is: 17,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.47 : 7,939.97 = 7,939.97 : x
  2. Step 2: Convert to fraction form
    3,624.47/7,939.97 = 7,939.97/x
  3. Step 3: Cross multiply
    3,624.47x = 7,939.97 × 7,939.97
  4. Step 4: Simplify right side
    3,624.47x = 63,043,103.75
  5. Step 5: Solve for x
    x = 63,043,103.75/3,624.47
  6. Step 6: Final answer
    x = 17,393.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.