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Finding the Third Proportional to 23.06 and 34.31

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Solution

The third proportional to 23.06 and 34.31 is: 51.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 34.31 = 34.31 : x
  2. Step 2: Convert to fraction form
    23.06/34.31 = 34.31/x
  3. Step 3: Cross multiply
    23.06x = 34.31 × 34.31
  4. Step 4: Simplify right side
    23.06x = 1,177.35
  5. Step 5: Solve for x
    x = 1,177.35/23.06
  6. Step 6: Final answer
    x = 51.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.