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Finding the Third Proportional to 38,810.25 and 83,562.75

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Solution

The third proportional to 38,810.25 and 83,562.75 is: 179,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,810.25 : 83,562.75 = 83,562.75 : x
  2. Step 2: Convert to fraction form
    38,810.25/83,562.75 = 83,562.75/x
  3. Step 3: Cross multiply
    38,810.25x = 83,562.75 × 83,562.75
  4. Step 4: Simplify right side
    38,810.25x = 6,982,733,187.56
  5. Step 5: Solve for x
    x = 6,982,733,187.56/38,810.25
  6. Step 6: Final answer
    x = 179,919.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.