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Finding the Third Proportional to 24,682 and 54,049

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Solution

The third proportional to 24,682 and 54,049 is: 118,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 54,049 = 54,049 : x
  2. Step 2: Convert to fraction form
    24,682/54,049 = 54,049/x
  3. Step 3: Cross multiply
    24,682x = 54,049 × 54,049
  4. Step 4: Simplify right side
    24,682x = 2,921,294,401
  5. Step 5: Solve for x
    x = 2,921,294,401/24,682
  6. Step 6: Final answer
    x = 118,357.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.