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Finding the Third Proportional to 27,668 and 42,312

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Solution

The third proportional to 27,668 and 42,312 is: 64,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668 : 42,312 = 42,312 : x
  2. Step 2: Convert to fraction form
    27,668/42,312 = 42,312/x
  3. Step 3: Cross multiply
    27,668x = 42,312 × 42,312
  4. Step 4: Simplify right side
    27,668x = 1,790,305,344
  5. Step 5: Solve for x
    x = 1,790,305,344/27,668
  6. Step 6: Final answer
    x = 64,706.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.