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Finding the Third Proportional to 44,822.25 and 67,578.75

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Solution

The third proportional to 44,822.25 and 67,578.75 is: 101,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,822.25 : 67,578.75 = 67,578.75 : x
  2. Step 2: Convert to fraction form
    44,822.25/67,578.75 = 67,578.75/x
  3. Step 3: Cross multiply
    44,822.25x = 67,578.75 × 67,578.75
  4. Step 4: Simplify right side
    44,822.25x = 4,566,887,451.56
  5. Step 5: Solve for x
    x = 4,566,887,451.56/44,822.25
  6. Step 6: Final answer
    x = 101,888.85

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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.