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Finding the Third Proportional to 11,175.38 and 15,661.13

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Solution

The third proportional to 11,175.38 and 15,661.13 is: 21,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.38 : 15,661.13 = 15,661.13 : x
  2. Step 2: Convert to fraction form
    11,175.38/15,661.13 = 15,661.13/x
  3. Step 3: Cross multiply
    11,175.38x = 15,661.13 × 15,661.13
  4. Step 4: Simplify right side
    11,175.38x = 245,270,836.27
  5. Step 5: Solve for x
    x = 245,270,836.27/11,175.38
  6. Step 6: Final answer
    x = 21,947.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.