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Finding the Third Proportional to 24,517.50 and 52,922.25

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Solution

The third proportional to 24,517.50 and 52,922.25 is: 114,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.50 : 52,922.25 = 52,922.25 : x
  2. Step 2: Convert to fraction form
    24,517.50/52,922.25 = 52,922.25/x
  3. Step 3: Cross multiply
    24,517.50x = 52,922.25 × 52,922.25
  4. Step 4: Simplify right side
    24,517.50x = 2,800,764,545.06
  5. Step 5: Solve for x
    x = 2,800,764,545.06/24,517.50
  6. Step 6: Final answer
    x = 114,235.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.