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Finding the Third Proportional to 3.52 and 9.14

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Solution

The third proportional to 3.52 and 9.14 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.52 : 9.14 = 9.14 : x
  2. Step 2: Convert to fraction form
    3.52/9.14 = 9.14/x
  3. Step 3: Cross multiply
    3.52x = 9.14 × 9.14
  4. Step 4: Simplify right side
    3.52x = 83.50
  5. Step 5: Solve for x
    x = 83.50/3.52
  6. Step 6: Final answer
    x = 23.74

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.