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Finding the Third Proportional to 6.64 and 10.60

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Solution

The third proportional to 6.64 and 10.60 is: 16.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.64 : 10.60 = 10.60 : x
  2. Step 2: Convert to fraction form
    6.64/10.60 = 10.60/x
  3. Step 3: Cross multiply
    6.64x = 10.60 × 10.60
  4. Step 4: Simplify right side
    6.64x = 112.35
  5. Step 5: Solve for x
    x = 112.35/6.64
  6. Step 6: Final answer
    x = 16.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.