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Finding the Third Proportional to 27,180 and 40,266

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Solution

The third proportional to 27,180 and 40,266 is: 59,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 40,266 = 40,266 : x
  2. Step 2: Convert to fraction form
    27,180/40,266 = 40,266/x
  3. Step 3: Cross multiply
    27,180x = 40,266 × 40,266
  4. Step 4: Simplify right side
    27,180x = 1,621,350,756
  5. Step 5: Solve for x
    x = 1,621,350,756/27,180
  6. Step 6: Final answer
    x = 59,652.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.