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Finding the Third Proportional to 11,166.46 and 24,546.80

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Solution

The third proportional to 11,166.46 and 24,546.80 is: 53,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.46 : 24,546.80 = 24,546.80 : x
  2. Step 2: Convert to fraction form
    11,166.46/24,546.80 = 24,546.80/x
  3. Step 3: Cross multiply
    11,166.46x = 24,546.80 × 24,546.80
  4. Step 4: Simplify right side
    11,166.46x = 602,545,236.82
  5. Step 5: Solve for x
    x = 602,545,236.82/11,166.46
  6. Step 6: Final answer
    x = 53,960.27

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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.