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Finding the Third Proportional to 40,475.25 and 61,278.75

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Solution

The third proportional to 40,475.25 and 61,278.75 is: 92,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475.25 : 61,278.75 = 61,278.75 : x
  2. Step 2: Convert to fraction form
    40,475.25/61,278.75 = 61,278.75/x
  3. Step 3: Cross multiply
    40,475.25x = 61,278.75 × 61,278.75
  4. Step 4: Simplify right side
    40,475.25x = 3,755,085,201.56
  5. Step 5: Solve for x
    x = 3,755,085,201.56/40,475.25
  6. Step 6: Final answer
    x = 92,774.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.