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Finding the Third Proportional to 23 and 27

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Solution

The third proportional to 23 and 27 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 27 = 27 : x
  2. Step 2: Convert to fraction form
    23/27 = 27/x
  3. Step 3: Cross multiply
    23x = 27 × 27
  4. Step 4: Simplify right side
    23x = 729
  5. Step 5: Solve for x
    x = 729/23
  6. Step 6: Final answer
    x = 31.70

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.