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Finding the Third Proportional to 32.43 and 67.55

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Solution

The third proportional to 32.43 and 67.55 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.43 : 67.55 = 67.55 : x
  2. Step 2: Convert to fraction form
    32.43/67.55 = 67.55/x
  3. Step 3: Cross multiply
    32.43x = 67.55 × 67.55
  4. Step 4: Simplify right side
    32.43x = 4,563.37
  5. Step 5: Solve for x
    x = 4,563.37/32.43
  6. Step 6: Final answer
    x = 140.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.