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Finding the Third Proportional to 27,668 and 38,046

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Solution

The third proportional to 27,668 and 38,046 is: 52,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668 : 38,046 = 38,046 : x
  2. Step 2: Convert to fraction form
    27,668/38,046 = 38,046/x
  3. Step 3: Cross multiply
    27,668x = 38,046 × 38,046
  4. Step 4: Simplify right side
    27,668x = 1,447,498,116
  5. Step 5: Solve for x
    x = 1,447,498,116/27,668
  6. Step 6: Final answer
    x = 52,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.