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Finding the Third Proportional to 24,806.50 and 54,270.25

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Solution

The third proportional to 24,806.50 and 54,270.25 is: 118,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.50 : 54,270.25 = 54,270.25 : x
  2. Step 2: Convert to fraction form
    24,806.50/54,270.25 = 54,270.25/x
  3. Step 3: Cross multiply
    24,806.50x = 54,270.25 × 54,270.25
  4. Step 4: Simplify right side
    24,806.50x = 2,945,260,035.06
  5. Step 5: Solve for x
    x = 2,945,260,035.06/24,806.50
  6. Step 6: Final answer
    x = 118,729.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.