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Finding the Third Proportional to 27,814 and 43,126

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Solution

The third proportional to 27,814 and 43,126 is: 66,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 43,126 = 43,126 : x
  2. Step 2: Convert to fraction form
    27,814/43,126 = 43,126/x
  3. Step 3: Cross multiply
    27,814x = 43,126 × 43,126
  4. Step 4: Simplify right side
    27,814x = 1,859,851,876
  5. Step 5: Solve for x
    x = 1,859,851,876/27,814
  6. Step 6: Final answer
    x = 66,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.