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Finding the Third Proportional to 24,177 and 51,257

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Solution

The third proportional to 24,177 and 51,257 is: 108,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177 : 51,257 = 51,257 : x
  2. Step 2: Convert to fraction form
    24,177/51,257 = 51,257/x
  3. Step 3: Cross multiply
    24,177x = 51,257 × 51,257
  4. Step 4: Simplify right side
    24,177x = 2,627,280,049
  5. Step 5: Solve for x
    x = 2,627,280,049/24,177
  6. Step 6: Final answer
    x = 108,668.57

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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.