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Finding the Third Proportional to 38,253.75 and 55,105.50

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Solution

The third proportional to 38,253.75 and 55,105.50 is: 79,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.75 : 55,105.50 = 55,105.50 : x
  2. Step 2: Convert to fraction form
    38,253.75/55,105.50 = 55,105.50/x
  3. Step 3: Cross multiply
    38,253.75x = 55,105.50 × 55,105.50
  4. Step 4: Simplify right side
    38,253.75x = 3,036,616,130.25
  5. Step 5: Solve for x
    x = 3,036,616,130.25/38,253.75
  6. Step 6: Final answer
    x = 79,380.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.