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Finding the Third Proportional to 4,080.38 and 9,475.31

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Solution

The third proportional to 4,080.38 and 9,475.31 is: 22,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.38 : 9,475.31 = 9,475.31 : x
  2. Step 2: Convert to fraction form
    4,080.38/9,475.31 = 9,475.31/x
  3. Step 3: Cross multiply
    4,080.38x = 9,475.31 × 9,475.31
  4. Step 4: Simplify right side
    4,080.38x = 89,781,546.97
  5. Step 5: Solve for x
    x = 89,781,546.97/4,080.38
  6. Step 6: Final answer
    x = 22,003.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.