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Finding the Third Proportional to 24,775 and 54,014

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Solution

The third proportional to 24,775 and 54,014 is: 117,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775 : 54,014 = 54,014 : x
  2. Step 2: Convert to fraction form
    24,775/54,014 = 54,014/x
  3. Step 3: Cross multiply
    24,775x = 54,014 × 54,014
  4. Step 4: Simplify right side
    24,775x = 2,917,512,196
  5. Step 5: Solve for x
    x = 2,917,512,196/24,775
  6. Step 6: Final answer
    x = 117,760.33

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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.