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Finding the Third Proportional to 3.88 and 9.17

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Solution

The third proportional to 3.88 and 9.17 is: 21.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.88 : 9.17 = 9.17 : x
  2. Step 2: Convert to fraction form
    3.88/9.17 = 9.17/x
  3. Step 3: Cross multiply
    3.88x = 9.17 × 9.17
  4. Step 4: Simplify right side
    3.88x = 84.06
  5. Step 5: Solve for x
    x = 84.06/3.88
  6. Step 6: Final answer
    x = 21.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.