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Finding the Third Proportional to 37,949.75 and 56,616.75

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Solution

The third proportional to 37,949.75 and 56,616.75 is: 84,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,949.75 : 56,616.75 = 56,616.75 : x
  2. Step 2: Convert to fraction form
    37,949.75/56,616.75 = 56,616.75/x
  3. Step 3: Cross multiply
    37,949.75x = 56,616.75 × 56,616.75
  4. Step 4: Simplify right side
    37,949.75x = 3,205,456,380.56
  5. Step 5: Solve for x
    x = 3,205,456,380.56/37,949.75
  6. Step 6: Final answer
    x = 84,465.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.