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Finding the Third Proportional to 23.50 and 32.31

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Solution

The third proportional to 23.50 and 32.31 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 32.31 = 32.31 : x
  2. Step 2: Convert to fraction form
    23.50/32.31 = 32.31/x
  3. Step 3: Cross multiply
    23.50x = 32.31 × 32.31
  4. Step 4: Simplify right side
    23.50x = 1,044.10
  5. Step 5: Solve for x
    x = 1,044.10/23.50
  6. Step 6: Final answer
    x = 44.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.