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Finding the Third Proportional to 24,881.77 and 54,137.53

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Solution

The third proportional to 24,881.77 and 54,137.53 is: 117,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.77 : 54,137.53 = 54,137.53 : x
  2. Step 2: Convert to fraction form
    24,881.77/54,137.53 = 54,137.53/x
  3. Step 3: Cross multiply
    24,881.77x = 54,137.53 × 54,137.53
  4. Step 4: Simplify right side
    24,881.77x = 2,930,872,289.84
  5. Step 5: Solve for x
    x = 2,930,872,289.84/24,881.77
  6. Step 6: Final answer
    x = 117,791.97

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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.