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Finding the Third Proportional to 24,801 and 54,057

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Solution

The third proportional to 24,801 and 54,057 is: 117,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 54,057 = 54,057 : x
  2. Step 2: Convert to fraction form
    24,801/54,057 = 54,057/x
  3. Step 3: Cross multiply
    24,801x = 54,057 × 54,057
  4. Step 4: Simplify right side
    24,801x = 2,922,159,249
  5. Step 5: Solve for x
    x = 2,922,159,249/24,801
  6. Step 6: Final answer
    x = 117,824.25

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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.