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Finding the Third Proportional to 11,531.25 and 25,198.88

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Solution

The third proportional to 11,531.25 and 25,198.88 is: 55,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.25 : 25,198.88 = 25,198.88 : x
  2. Step 2: Convert to fraction form
    11,531.25/25,198.88 = 25,198.88/x
  3. Step 3: Cross multiply
    11,531.25x = 25,198.88 × 25,198.88
  4. Step 4: Simplify right side
    11,531.25x = 634,983,301.27
  5. Step 5: Solve for x
    x = 634,983,301.27/11,531.25
  6. Step 6: Final answer
    x = 55,066.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.