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Finding the Third Proportional to 12,151 and 25,231

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Solution

The third proportional to 12,151 and 25,231 is: 52,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151 : 25,231 = 25,231 : x
  2. Step 2: Convert to fraction form
    12,151/25,231 = 25,231/x
  3. Step 3: Cross multiply
    12,151x = 25,231 × 25,231
  4. Step 4: Simplify right side
    12,151x = 636,603,361
  5. Step 5: Solve for x
    x = 636,603,361/12,151
  6. Step 6: Final answer
    x = 52,391.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.