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Finding the Third Proportional to 38,218.50 and 51,617.25

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Solution

The third proportional to 38,218.50 and 51,617.25 is: 69,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218.50 : 51,617.25 = 51,617.25 : x
  2. Step 2: Convert to fraction form
    38,218.50/51,617.25 = 51,617.25/x
  3. Step 3: Cross multiply
    38,218.50x = 51,617.25 × 51,617.25
  4. Step 4: Simplify right side
    38,218.50x = 2,664,340,497.56
  5. Step 5: Solve for x
    x = 2,664,340,497.56/38,218.50
  6. Step 6: Final answer
    x = 69,713.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.