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Finding the Third Proportional to 19.14 and 41.14

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Solution

The third proportional to 19.14 and 41.14 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.14 : 41.14 = 41.14 : x
  2. Step 2: Convert to fraction form
    19.14/41.14 = 41.14/x
  3. Step 3: Cross multiply
    19.14x = 41.14 × 41.14
  4. Step 4: Simplify right side
    19.14x = 1,692.55
  5. Step 5: Solve for x
    x = 1,692.55/19.14
  6. Step 6: Final answer
    x = 88.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.