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Finding the Third Proportional to 20,578.50 and 48,084.75

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Solution

The third proportional to 20,578.50 and 48,084.75 is: 112,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.50 : 48,084.75 = 48,084.75 : x
  2. Step 2: Convert to fraction form
    20,578.50/48,084.75 = 48,084.75/x
  3. Step 3: Cross multiply
    20,578.50x = 48,084.75 × 48,084.75
  4. Step 4: Simplify right side
    20,578.50x = 2,312,143,182.56
  5. Step 5: Solve for x
    x = 2,312,143,182.56/20,578.50
  6. Step 6: Final answer
    x = 112,357.23

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.