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Finding the Third Proportional to 7,162.88 and 15,418.13

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Solution

The third proportional to 7,162.88 and 15,418.13 is: 33,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.88 : 15,418.13 = 15,418.13 : x
  2. Step 2: Convert to fraction form
    7,162.88/15,418.13 = 15,418.13/x
  3. Step 3: Cross multiply
    7,162.88x = 15,418.13 × 15,418.13
  4. Step 4: Simplify right side
    7,162.88x = 237,718,578.52
  5. Step 5: Solve for x
    x = 237,718,578.52/7,162.88
  6. Step 6: Final answer
    x = 33,187.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.