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Finding the Third Proportional to 24,734 and 54,138

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Solution

The third proportional to 24,734 and 54,138 is: 118,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 54,138 = 54,138 : x
  2. Step 2: Convert to fraction form
    24,734/54,138 = 54,138/x
  3. Step 3: Cross multiply
    24,734x = 54,138 × 54,138
  4. Step 4: Simplify right side
    24,734x = 2,930,923,044
  5. Step 5: Solve for x
    x = 2,930,923,044/24,734
  6. Step 6: Final answer
    x = 118,497.74

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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.