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Finding the Third Proportional to 27,131 and 40,668

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Solution

The third proportional to 27,131 and 40,668 is: 60,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131 : 40,668 = 40,668 : x
  2. Step 2: Convert to fraction form
    27,131/40,668 = 40,668/x
  3. Step 3: Cross multiply
    27,131x = 40,668 × 40,668
  4. Step 4: Simplify right side
    27,131x = 1,653,886,224
  5. Step 5: Solve for x
    x = 1,653,886,224/27,131
  6. Step 6: Final answer
    x = 60,959.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.