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Finding the Third Proportional to 19.95 and 43.09

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Solution

The third proportional to 19.95 and 43.09 is: 93.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.95 : 43.09 = 43.09 : x
  2. Step 2: Convert to fraction form
    19.95/43.09 = 43.09/x
  3. Step 3: Cross multiply
    19.95x = 43.09 × 43.09
  4. Step 4: Simplify right side
    19.95x = 1,856.80
  5. Step 5: Solve for x
    x = 1,856.80/19.95
  6. Step 6: Final answer
    x = 93.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.