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Finding the Third Proportional to 23.43 and 34.54

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Solution

The third proportional to 23.43 and 34.54 is: 50.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.43 : 34.54 = 34.54 : x
  2. Step 2: Convert to fraction form
    23.43/34.54 = 34.54/x
  3. Step 3: Cross multiply
    23.43x = 34.54 × 34.54
  4. Step 4: Simplify right side
    23.43x = 1,192.94
  5. Step 5: Solve for x
    x = 1,192.94/23.43
  6. Step 6: Final answer
    x = 50.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.