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Finding the Third Proportional to 12,883.50 and 27,151

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Solution

The third proportional to 12,883.50 and 27,151 is: 57,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.50 : 27,151 = 27,151 : x
  2. Step 2: Convert to fraction form
    12,883.50/27,151 = 27,151/x
  3. Step 3: Cross multiply
    12,883.50x = 27,151 × 27,151
  4. Step 4: Simplify right side
    12,883.50x = 737,176,801
  5. Step 5: Solve for x
    x = 737,176,801/12,883.50
  6. Step 6: Final answer
    x = 57,218.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.