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Finding the Third Proportional to 10,884 and 24,431

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Solution

The third proportional to 10,884 and 24,431 is: 54,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884 : 24,431 = 24,431 : x
  2. Step 2: Convert to fraction form
    10,884/24,431 = 24,431/x
  3. Step 3: Cross multiply
    10,884x = 24,431 × 24,431
  4. Step 4: Simplify right side
    10,884x = 596,873,761
  5. Step 5: Solve for x
    x = 596,873,761/10,884
  6. Step 6: Final answer
    x = 54,839.56

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.