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Finding the Third Proportional to 23 and 34.75

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Solution

The third proportional to 23 and 34.75 is: 52.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34.75 = 34.75 : x
  2. Step 2: Convert to fraction form
    23/34.75 = 34.75/x
  3. Step 3: Cross multiply
    23x = 34.75 × 34.75
  4. Step 4: Simplify right side
    23x = 1,207.56
  5. Step 5: Solve for x
    x = 1,207.56/23
  6. Step 6: Final answer
    x = 52.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.