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Finding the Third Proportional to 24,797 and 54,049

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Solution

The third proportional to 24,797 and 54,049 is: 117,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797 : 54,049 = 54,049 : x
  2. Step 2: Convert to fraction form
    24,797/54,049 = 54,049/x
  3. Step 3: Cross multiply
    24,797x = 54,049 × 54,049
  4. Step 4: Simplify right side
    24,797x = 2,921,294,401
  5. Step 5: Solve for x
    x = 2,921,294,401/24,797
  6. Step 6: Final answer
    x = 117,808.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.