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Finding the Third Proportional to 19,563.75 and 41,557.50

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Solution

The third proportional to 19,563.75 and 41,557.50 is: 88,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563.75 : 41,557.50 = 41,557.50 : x
  2. Step 2: Convert to fraction form
    19,563.75/41,557.50 = 41,557.50/x
  3. Step 3: Cross multiply
    19,563.75x = 41,557.50 × 41,557.50
  4. Step 4: Simplify right side
    19,563.75x = 1,727,025,806.25
  5. Step 5: Solve for x
    x = 1,727,025,806.25/19,563.75
  6. Step 6: Final answer
    x = 88,276.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.