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Finding the Third Proportional to 27 and 81

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Solution

The third proportional to 27 and 81 is: 243

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 81 = 81 : x
  2. Step 2: Convert to fraction form
    27/81 = 81/x
  3. Step 3: Cross multiply
    27x = 81 × 81
  4. Step 4: Simplify right side
    27x = 6,561
  5. Step 5: Solve for x
    x = 6,561/27
  6. Step 6: Final answer
    x = 243

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Why These Related Problems?

These problems maintain the same ratio (3) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.