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Finding the Third Proportional to 23.06 and 32.34

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Solution

The third proportional to 23.06 and 32.34 is: 45.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 32.34 = 32.34 : x
  2. Step 2: Convert to fraction form
    23.06/32.34 = 32.34/x
  3. Step 3: Cross multiply
    23.06x = 32.34 × 32.34
  4. Step 4: Simplify right side
    23.06x = 1,046.12
  5. Step 5: Solve for x
    x = 1,046.12/23.06
  6. Step 6: Final answer
    x = 45.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.