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Finding the Third Proportional to 19.64 and 42.66

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Solution

The third proportional to 19.64 and 42.66 is: 92.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.64 : 42.66 = 42.66 : x
  2. Step 2: Convert to fraction form
    19.64/42.66 = 42.66/x
  3. Step 3: Cross multiply
    19.64x = 42.66 × 42.66
  4. Step 4: Simplify right side
    19.64x = 1,819.56
  5. Step 5: Solve for x
    x = 1,819.56/19.64
  6. Step 6: Final answer
    x = 92.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.