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Finding the Third Proportional to 24,815 and 54,005

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Solution

The third proportional to 24,815 and 54,005 is: 117,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815 : 54,005 = 54,005 : x
  2. Step 2: Convert to fraction form
    24,815/54,005 = 54,005/x
  3. Step 3: Cross multiply
    24,815x = 54,005 × 54,005
  4. Step 4: Simplify right side
    24,815x = 2,916,540,025
  5. Step 5: Solve for x
    x = 2,916,540,025/24,815
  6. Step 6: Final answer
    x = 117,531.33

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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.