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Finding the Third Proportional to 24,580.97 and 54,082.69

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Solution

The third proportional to 24,580.97 and 54,082.69 is: 118,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.97 : 54,082.69 = 54,082.69 : x
  2. Step 2: Convert to fraction form
    24,580.97/54,082.69 = 54,082.69/x
  3. Step 3: Cross multiply
    24,580.97x = 54,082.69 × 54,082.69
  4. Step 4: Simplify right side
    24,580.97x = 2,924,937,087.22
  5. Step 5: Solve for x
    x = 2,924,937,087.22/24,580.97
  6. Step 6: Final answer
    x = 118,991.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.