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Finding the Third Proportional to 32.92 and 68.03

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Solution

The third proportional to 32.92 and 68.03 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.92 : 68.03 = 68.03 : x
  2. Step 2: Convert to fraction form
    32.92/68.03 = 68.03/x
  3. Step 3: Cross multiply
    32.92x = 68.03 × 68.03
  4. Step 4: Simplify right side
    32.92x = 4,627.66
  5. Step 5: Solve for x
    x = 4,627.66/32.92
  6. Step 6: Final answer
    x = 140.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.