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Finding the Third Proportional to 3,691.25 and 7,962.25

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Solution

The third proportional to 3,691.25 and 7,962.25 is: 17,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.25 : 7,962.25 = 7,962.25 : x
  2. Step 2: Convert to fraction form
    3,691.25/7,962.25 = 7,962.25/x
  3. Step 3: Cross multiply
    3,691.25x = 7,962.25 × 7,962.25
  4. Step 4: Simplify right side
    3,691.25x = 63,397,425.06
  5. Step 5: Solve for x
    x = 63,397,425.06/3,691.25
  6. Step 6: Final answer
    x = 17,175.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.