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Finding the Third Proportional to 41,077.13 and 57,813.75

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Solution

The third proportional to 41,077.13 and 57,813.75 is: 81,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077.13 : 57,813.75 = 57,813.75 : x
  2. Step 2: Convert to fraction form
    41,077.13/57,813.75 = 57,813.75/x
  3. Step 3: Cross multiply
    41,077.13x = 57,813.75 × 57,813.75
  4. Step 4: Simplify right side
    41,077.13x = 3,342,429,689.06
  5. Step 5: Solve for x
    x = 3,342,429,689.06/41,077.13
  6. Step 6: Final answer
    x = 81,369.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.