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Finding the Third Proportional to 5,175.09 and 11,521.04

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Solution

The third proportional to 5,175.09 and 11,521.04 is: 25,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.09 : 11,521.04 = 11,521.04 : x
  2. Step 2: Convert to fraction form
    5,175.09/11,521.04 = 11,521.04/x
  3. Step 3: Cross multiply
    5,175.09x = 11,521.04 × 11,521.04
  4. Step 4: Simplify right side
    5,175.09x = 132,734,296.08
  5. Step 5: Solve for x
    x = 132,734,296.08/5,175.09
  6. Step 6: Final answer
    x = 25,648.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.