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Finding the Third Proportional to 8,118.13 and 17,449.38

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Solution

The third proportional to 8,118.13 and 17,449.38 is: 37,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.13 : 17,449.38 = 17,449.38 : x
  2. Step 2: Convert to fraction form
    8,118.13/17,449.38 = 17,449.38/x
  3. Step 3: Cross multiply
    8,118.13x = 17,449.38 × 17,449.38
  4. Step 4: Simplify right side
    8,118.13x = 304,480,687.89
  5. Step 5: Solve for x
    x = 304,480,687.89/8,118.13
  6. Step 6: Final answer
    x = 37,506.28

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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.