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Finding the Third Proportional to 4,177.97 and 8,983.69

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Solution

The third proportional to 4,177.97 and 8,983.69 is: 19,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.97 : 8,983.69 = 8,983.69 : x
  2. Step 2: Convert to fraction form
    4,177.97/8,983.69 = 8,983.69/x
  3. Step 3: Cross multiply
    4,177.97x = 8,983.69 × 8,983.69
  4. Step 4: Simplify right side
    4,177.97x = 80,706,641.10
  5. Step 5: Solve for x
    x = 80,706,641.10/4,177.97
  6. Step 6: Final answer
    x = 19,317.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.