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Finding the Third Proportional to 6.57 and 9.62

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Solution

The third proportional to 6.57 and 9.62 is: 14.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.62 = 9.62 : x
  2. Step 2: Convert to fraction form
    6.57/9.62 = 9.62/x
  3. Step 3: Cross multiply
    6.57x = 9.62 × 9.62
  4. Step 4: Simplify right side
    6.57x = 92.52
  5. Step 5: Solve for x
    x = 92.52/6.57
  6. Step 6: Final answer
    x = 14.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.