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Finding the Third Proportional to 38,113.50 and 56,616.75

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Solution

The third proportional to 38,113.50 and 56,616.75 is: 84,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.50 : 56,616.75 = 56,616.75 : x
  2. Step 2: Convert to fraction form
    38,113.50/56,616.75 = 56,616.75/x
  3. Step 3: Cross multiply
    38,113.50x = 56,616.75 × 56,616.75
  4. Step 4: Simplify right side
    38,113.50x = 3,205,456,380.56
  5. Step 5: Solve for x
    x = 3,205,456,380.56/38,113.50
  6. Step 6: Final answer
    x = 84,102.91

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