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Finding the Third Proportional to 23.65 and 34.57

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Solution

The third proportional to 23.65 and 34.57 is: 50.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.65 : 34.57 = 34.57 : x
  2. Step 2: Convert to fraction form
    23.65/34.57 = 34.57/x
  3. Step 3: Cross multiply
    23.65x = 34.57 × 34.57
  4. Step 4: Simplify right side
    23.65x = 1,194.90
  5. Step 5: Solve for x
    x = 1,194.90/23.65
  6. Step 6: Final answer
    x = 50.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.