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Finding the Third Proportional to 36,821.25 and 55,414.13

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Solution

The third proportional to 36,821.25 and 55,414.13 is: 83,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821.25 : 55,414.13 = 55,414.13 : x
  2. Step 2: Convert to fraction form
    36,821.25/55,414.13 = 55,414.13/x
  3. Step 3: Cross multiply
    36,821.25x = 55,414.13 × 55,414.13
  4. Step 4: Simplify right side
    36,821.25x = 3,070,725,249.52
  5. Step 5: Solve for x
    x = 3,070,725,249.52/36,821.25
  6. Step 6: Final answer
    x = 83,395.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.