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Finding the Third Proportional to 41,104.13 and 52,356.38

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Solution

The third proportional to 41,104.13 and 52,356.38 is: 66,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,104.13 : 52,356.38 = 52,356.38 : x
  2. Step 2: Convert to fraction form
    41,104.13/52,356.38 = 52,356.38/x
  3. Step 3: Cross multiply
    41,104.13x = 52,356.38 × 52,356.38
  4. Step 4: Simplify right side
    41,104.13x = 2,741,190,003.14
  5. Step 5: Solve for x
    x = 2,741,190,003.14/41,104.13
  6. Step 6: Final answer
    x = 66,688.93

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.