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Finding the Third Proportional to 12,281 and 26,811

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Solution

The third proportional to 12,281 and 26,811 is: 58,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281 : 26,811 = 26,811 : x
  2. Step 2: Convert to fraction form
    12,281/26,811 = 26,811/x
  3. Step 3: Cross multiply
    12,281x = 26,811 × 26,811
  4. Step 4: Simplify right side
    12,281x = 718,829,721
  5. Step 5: Solve for x
    x = 718,829,721/12,281
  6. Step 6: Final answer
    x = 58,531.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.