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Finding the Third Proportional to 4,160.39 and 9,049.78

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Solution

The third proportional to 4,160.39 and 9,049.78 is: 19,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.39 : 9,049.78 = 9,049.78 : x
  2. Step 2: Convert to fraction form
    4,160.39/9,049.78 = 9,049.78/x
  3. Step 3: Cross multiply
    4,160.39x = 9,049.78 × 9,049.78
  4. Step 4: Simplify right side
    4,160.39x = 81,898,540.67
  5. Step 5: Solve for x
    x = 81,898,540.67/4,160.39
  6. Step 6: Final answer
    x = 19,685.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.