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Finding the Third Proportional to 19.46 and 43.19

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Solution

The third proportional to 19.46 and 43.19 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.46 : 43.19 = 43.19 : x
  2. Step 2: Convert to fraction form
    19.46/43.19 = 43.19/x
  3. Step 3: Cross multiply
    19.46x = 43.19 × 43.19
  4. Step 4: Simplify right side
    19.46x = 1,865.33
  5. Step 5: Solve for x
    x = 1,865.33/19.46
  6. Step 6: Final answer
    x = 95.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.