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Finding the Third Proportional to 11,189.25 and 24,706.97

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Solution

The third proportional to 11,189.25 and 24,706.97 is: 54,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.25 : 24,706.97 = 24,706.97 : x
  2. Step 2: Convert to fraction form
    11,189.25/24,706.97 = 24,706.97/x
  3. Step 3: Cross multiply
    11,189.25x = 24,706.97 × 24,706.97
  4. Step 4: Simplify right side
    11,189.25x = 610,434,304.81
  5. Step 5: Solve for x
    x = 610,434,304.81/11,189.25
  6. Step 6: Final answer
    x = 54,555.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.