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Finding the Third Proportional to 8,175.62 and 17,325.14

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Solution

The third proportional to 8,175.62 and 17,325.14 is: 36,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.62 : 17,325.14 = 17,325.14 : x
  2. Step 2: Convert to fraction form
    8,175.62/17,325.14 = 17,325.14/x
  3. Step 3: Cross multiply
    8,175.62x = 17,325.14 × 17,325.14
  4. Step 4: Simplify right side
    8,175.62x = 300,160,497.68
  5. Step 5: Solve for x
    x = 300,160,497.68/8,175.62
  6. Step 6: Final answer
    x = 36,714.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.