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Finding the Third Proportional to 10,991 and 24,223

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Solution

The third proportional to 10,991 and 24,223 is: 53,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991 : 24,223 = 24,223 : x
  2. Step 2: Convert to fraction form
    10,991/24,223 = 24,223/x
  3. Step 3: Cross multiply
    10,991x = 24,223 × 24,223
  4. Step 4: Simplify right side
    10,991x = 586,753,729
  5. Step 5: Solve for x
    x = 586,753,729/10,991
  6. Step 6: Final answer
    x = 53,384.93

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Why These Related Problems?

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