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Finding the Third Proportional to 10,991 and 24,439

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Solution

The third proportional to 10,991 and 24,439 is: 54,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991 : 24,439 = 24,439 : x
  2. Step 2: Convert to fraction form
    10,991/24,439 = 24,439/x
  3. Step 3: Cross multiply
    10,991x = 24,439 × 24,439
  4. Step 4: Simplify right side
    10,991x = 597,264,721
  5. Step 5: Solve for x
    x = 597,264,721/10,991
  6. Step 6: Final answer
    x = 54,341.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.