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Finding the Third Proportional to 31,195.13 and 41,244.19

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Solution

The third proportional to 31,195.13 and 41,244.19 is: 54,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.13 : 41,244.19 = 41,244.19 : x
  2. Step 2: Convert to fraction form
    31,195.13/41,244.19 = 41,244.19/x
  3. Step 3: Cross multiply
    31,195.13x = 41,244.19 × 41,244.19
  4. Step 4: Simplify right side
    31,195.13x = 1,701,083,002.54
  5. Step 5: Solve for x
    x = 1,701,083,002.54/31,195.13
  6. Step 6: Final answer
    x = 54,530.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.