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Finding the Third Proportional to 27,081 and 36,216

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Solution

The third proportional to 27,081 and 36,216 is: 48,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,081 : 36,216 = 36,216 : x
  2. Step 2: Convert to fraction form
    27,081/36,216 = 36,216/x
  3. Step 3: Cross multiply
    27,081x = 36,216 × 36,216
  4. Step 4: Simplify right side
    27,081x = 1,311,598,656
  5. Step 5: Solve for x
    x = 1,311,598,656/27,081
  6. Step 6: Final answer
    x = 48,432.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.