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Finding the Third Proportional to 5,181.05 and 11,175.89

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Solution

The third proportional to 5,181.05 and 11,175.89 is: 24,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.05 : 11,175.89 = 11,175.89 : x
  2. Step 2: Convert to fraction form
    5,181.05/11,175.89 = 11,175.89/x
  3. Step 3: Cross multiply
    5,181.05x = 11,175.89 × 11,175.89
  4. Step 4: Simplify right side
    5,181.05x = 124,900,531.26
  5. Step 5: Solve for x
    x = 124,900,531.26/5,181.05
  6. Step 6: Final answer
    x = 24,107.20

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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.