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Finding the Third Proportional to 24,179 and 51,261

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Solution

The third proportional to 24,179 and 51,261 is: 108,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179 : 51,261 = 51,261 : x
  2. Step 2: Convert to fraction form
    24,179/51,261 = 51,261/x
  3. Step 3: Cross multiply
    24,179x = 51,261 × 51,261
  4. Step 4: Simplify right side
    24,179x = 2,627,690,121
  5. Step 5: Solve for x
    x = 2,627,690,121/24,179
  6. Step 6: Final answer
    x = 108,676.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.