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Finding the Third Proportional to 27,660 and 38,034

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Solution

The third proportional to 27,660 and 38,034 is: 52,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660 : 38,034 = 38,034 : x
  2. Step 2: Convert to fraction form
    27,660/38,034 = 38,034/x
  3. Step 3: Cross multiply
    27,660x = 38,034 × 38,034
  4. Step 4: Simplify right side
    27,660x = 1,446,585,156
  5. Step 5: Solve for x
    x = 1,446,585,156/27,660
  6. Step 6: Final answer
    x = 52,298.81

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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.