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Finding the Third Proportional to 22,668.75 and 31,866

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Solution

The third proportional to 22,668.75 and 31,866 is: 44,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.75 : 31,866 = 31,866 : x
  2. Step 2: Convert to fraction form
    22,668.75/31,866 = 31,866/x
  3. Step 3: Cross multiply
    22,668.75x = 31,866 × 31,866
  4. Step 4: Simplify right side
    22,668.75x = 1,015,441,956
  5. Step 5: Solve for x
    x = 1,015,441,956/22,668.75
  6. Step 6: Final answer
    x = 44,794.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.