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Finding the Third Proportional to 6.57 and 9.60

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Solution

The third proportional to 6.57 and 9.60 is: 14.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 9.60 = 9.60 : x
  2. Step 2: Convert to fraction form
    6.57/9.60 = 9.60/x
  3. Step 3: Cross multiply
    6.57x = 9.60 × 9.60
  4. Step 4: Simplify right side
    6.57x = 92.12
  5. Step 5: Solve for x
    x = 92.12/6.57
  6. Step 6: Final answer
    x = 14.01

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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.