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Finding the Third Proportional to 5,404.22 and 11,175.47

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Solution

The third proportional to 5,404.22 and 11,175.47 is: 23,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.22 : 11,175.47 = 11,175.47 : x
  2. Step 2: Convert to fraction form
    5,404.22/11,175.47 = 11,175.47/x
  3. Step 3: Cross multiply
    5,404.22x = 11,175.47 × 11,175.47
  4. Step 4: Simplify right side
    5,404.22x = 124,891,101.78
  5. Step 5: Solve for x
    x = 124,891,101.78/5,404.22
  6. Step 6: Final answer
    x = 23,109.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.