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Finding the Third Proportional to 7.33 and 15.17

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Solution

The third proportional to 7.33 and 15.17 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.33 : 15.17 = 15.17 : x
  2. Step 2: Convert to fraction form
    7.33/15.17 = 15.17/x
  3. Step 3: Cross multiply
    7.33x = 15.17 × 15.17
  4. Step 4: Simplify right side
    7.33x = 230.26
  5. Step 5: Solve for x
    x = 230.26/7.33
  6. Step 6: Final answer
    x = 31.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.