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Finding the Third Proportional to 32.97 and 72.73

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Solution

The third proportional to 32.97 and 72.73 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 72.73 = 72.73 : x
  2. Step 2: Convert to fraction form
    32.97/72.73 = 72.73/x
  3. Step 3: Cross multiply
    32.97x = 72.73 × 72.73
  4. Step 4: Simplify right side
    32.97x = 5,290.29
  5. Step 5: Solve for x
    x = 5,290.29/32.97
  6. Step 6: Final answer
    x = 160.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.