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Finding the Third Proportional to 26,821.13 and 36,708.19

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Solution

The third proportional to 26,821.13 and 36,708.19 is: 50,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.13 : 36,708.19 = 36,708.19 : x
  2. Step 2: Convert to fraction form
    26,821.13/36,708.19 = 36,708.19/x
  3. Step 3: Cross multiply
    26,821.13x = 36,708.19 × 36,708.19
  4. Step 4: Simplify right side
    26,821.13x = 1,347,491,029.54
  5. Step 5: Solve for x
    x = 1,347,491,029.54/26,821.13
  6. Step 6: Final answer
    x = 50,239.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.