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Finding the Third Proportional to 7,095.38 and 15,418.13

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Solution

The third proportional to 7,095.38 and 15,418.13 is: 33,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.38 : 15,418.13 = 15,418.13 : x
  2. Step 2: Convert to fraction form
    7,095.38/15,418.13 = 15,418.13/x
  3. Step 3: Cross multiply
    7,095.38x = 15,418.13 × 15,418.13
  4. Step 4: Simplify right side
    7,095.38x = 237,718,578.52
  5. Step 5: Solve for x
    x = 237,718,578.52/7,095.38
  6. Step 6: Final answer
    x = 33,503.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.