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Finding the Third Proportional to 10,912.85 and 23,824.76

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Solution

The third proportional to 10,912.85 and 23,824.76 is: 52,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.85 : 23,824.76 = 23,824.76 : x
  2. Step 2: Convert to fraction form
    10,912.85/23,824.76 = 23,824.76/x
  3. Step 3: Cross multiply
    10,912.85x = 23,824.76 × 23,824.76
  4. Step 4: Simplify right side
    10,912.85x = 567,619,084.82
  5. Step 5: Solve for x
    x = 567,619,084.82/10,912.85
  6. Step 6: Final answer
    x = 52,013.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.