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Finding the Third Proportional to 7,418.25 and 17,511.61

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Solution

The third proportional to 7,418.25 and 17,511.61 is: 41,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.25 : 17,511.61 = 17,511.61 : x
  2. Step 2: Convert to fraction form
    7,418.25/17,511.61 = 17,511.61/x
  3. Step 3: Cross multiply
    7,418.25x = 17,511.61 × 17,511.61
  4. Step 4: Simplify right side
    7,418.25x = 306,656,462.90
  5. Step 5: Solve for x
    x = 306,656,462.90/7,418.25
  6. Step 6: Final answer
    x = 41,338.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.