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Finding the Third Proportional to 7.46 and 16.04

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Solution

The third proportional to 7.46 and 16.04 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.46 : 16.04 = 16.04 : x
  2. Step 2: Convert to fraction form
    7.46/16.04 = 16.04/x
  3. Step 3: Cross multiply
    7.46x = 16.04 × 16.04
  4. Step 4: Simplify right side
    7.46x = 257.44
  5. Step 5: Solve for x
    x = 257.44/7.46
  6. Step 6: Final answer
    x = 34.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.