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Finding the Third Proportional to 23 and 34

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Solution

The third proportional to 23 and 34 is: 50.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34 = 34 : x
  2. Step 2: Convert to fraction form
    23/34 = 34/x
  3. Step 3: Cross multiply
    23x = 34 × 34
  4. Step 4: Simplify right side
    23x = 1,156
  5. Step 5: Solve for x
    x = 1,156/23
  6. Step 6: Final answer
    x = 50.26

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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.