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Finding the Third Proportional to 21,382.25 and 32,084.75

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Solution

The third proportional to 21,382.25 and 32,084.75 is: 48,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.25 : 32,084.75 = 32,084.75 : x
  2. Step 2: Convert to fraction form
    21,382.25/32,084.75 = 32,084.75/x
  3. Step 3: Cross multiply
    21,382.25x = 32,084.75 × 32,084.75
  4. Step 4: Simplify right side
    21,382.25x = 1,029,431,182.56
  5. Step 5: Solve for x
    x = 1,029,431,182.56/21,382.25
  6. Step 6: Final answer
    x = 48,144.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.