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Finding the Third Proportional to 7.59 and 16.09

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Solution

The third proportional to 7.59 and 16.09 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.59 : 16.09 = 16.09 : x
  2. Step 2: Convert to fraction form
    7.59/16.09 = 16.09/x
  3. Step 3: Cross multiply
    7.59x = 16.09 × 16.09
  4. Step 4: Simplify right side
    7.59x = 258.97
  5. Step 5: Solve for x
    x = 258.97/7.59
  6. Step 6: Final answer
    x = 34.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.