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Finding the Third Proportional to 23.57 and 34.07

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Solution

The third proportional to 23.57 and 34.07 is: 49.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.57 : 34.07 = 34.07 : x
  2. Step 2: Convert to fraction form
    23.57/34.07 = 34.07/x
  3. Step 3: Cross multiply
    23.57x = 34.07 × 34.07
  4. Step 4: Simplify right side
    23.57x = 1,160.52
  5. Step 5: Solve for x
    x = 1,160.52/23.57
  6. Step 6: Final answer
    x = 49.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.