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Finding the Third Proportional to 32.97 and 74.42

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Solution

The third proportional to 32.97 and 74.42 is: 168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 74.42 = 74.42 : x
  2. Step 2: Convert to fraction form
    32.97/74.42 = 74.42/x
  3. Step 3: Cross multiply
    32.97x = 74.42 × 74.42
  4. Step 4: Simplify right side
    32.97x = 5,538.62
  5. Step 5: Solve for x
    x = 5,538.62/32.97
  6. Step 6: Final answer
    x = 168.00

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.