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Finding the Third Proportional to 27,178 and 41,780

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Solution

The third proportional to 27,178 and 41,780 is: 64,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 41,780 = 41,780 : x
  2. Step 2: Convert to fraction form
    27,178/41,780 = 41,780/x
  3. Step 3: Cross multiply
    27,178x = 41,780 × 41,780
  4. Step 4: Simplify right side
    27,178x = 1,745,568,400
  5. Step 5: Solve for x
    x = 1,745,568,400/27,178
  6. Step 6: Final answer
    x = 64,227.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.