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Finding the Third Proportional to 32.06 and 73.97

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Solution

The third proportional to 32.06 and 73.97 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 73.97 = 73.97 : x
  2. Step 2: Convert to fraction form
    32.06/73.97 = 73.97/x
  3. Step 3: Cross multiply
    32.06x = 73.97 × 73.97
  4. Step 4: Simplify right side
    32.06x = 5,471.38
  5. Step 5: Solve for x
    x = 5,471.38/32.06
  6. Step 6: Final answer
    x = 170.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.