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Finding the Third Proportional to 49,385.25 and 74,508.75

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Solution

The third proportional to 49,385.25 and 74,508.75 is: 112,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,385.25 : 74,508.75 = 74,508.75 : x
  2. Step 2: Convert to fraction form
    49,385.25/74,508.75 = 74,508.75/x
  3. Step 3: Cross multiply
    49,385.25x = 74,508.75 × 74,508.75
  4. Step 4: Simplify right side
    49,385.25x = 5,551,553,826.56
  5. Step 5: Solve for x
    x = 5,551,553,826.56/49,385.25
  6. Step 6: Final answer
    x = 112,413.20

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