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Finding the Third Proportional to 19.09 and 41.98

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Solution

The third proportional to 19.09 and 41.98 is: 92.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.09 : 41.98 = 41.98 : x
  2. Step 2: Convert to fraction form
    19.09/41.98 = 41.98/x
  3. Step 3: Cross multiply
    19.09x = 41.98 × 41.98
  4. Step 4: Simplify right side
    19.09x = 1,762.03
  5. Step 5: Solve for x
    x = 1,762.03/19.09
  6. Step 6: Final answer
    x = 92.30

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