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Finding the Third Proportional to 7.14 and 9.52

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Solution

The third proportional to 7.14 and 9.52 is: 12.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.14 : 9.52 = 9.52 : x
  2. Step 2: Convert to fraction form
    7.14/9.52 = 9.52/x
  3. Step 3: Cross multiply
    7.14x = 9.52 × 9.52
  4. Step 4: Simplify right side
    7.14x = 90.63
  5. Step 5: Solve for x
    x = 90.63/7.14
  6. Step 6: Final answer
    x = 12.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.