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Finding the Third Proportional to 7.62 and 16.26

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Solution

The third proportional to 7.62 and 16.26 is: 34.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.62 : 16.26 = 16.26 : x
  2. Step 2: Convert to fraction form
    7.62/16.26 = 16.26/x
  3. Step 3: Cross multiply
    7.62x = 16.26 × 16.26
  4. Step 4: Simplify right side
    7.62x = 264.29
  5. Step 5: Solve for x
    x = 264.29/7.62
  6. Step 6: Final answer
    x = 34.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.