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Finding the Third Proportional to 19.08 and 41.95

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Solution

The third proportional to 19.08 and 41.95 is: 92.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.08 : 41.95 = 41.95 : x
  2. Step 2: Convert to fraction form
    19.08/41.95 = 41.95/x
  3. Step 3: Cross multiply
    19.08x = 41.95 × 41.95
  4. Step 4: Simplify right side
    19.08x = 1,760.06
  5. Step 5: Solve for x
    x = 1,760.06/19.08
  6. Step 6: Final answer
    x = 92.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.