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Finding the Third Proportional to 19.86 and 41.93

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Solution

The third proportional to 19.86 and 41.93 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.86 : 41.93 = 41.93 : x
  2. Step 2: Convert to fraction form
    19.86/41.93 = 41.93/x
  3. Step 3: Cross multiply
    19.86x = 41.93 × 41.93
  4. Step 4: Simplify right side
    19.86x = 1,758.52
  5. Step 5: Solve for x
    x = 1,758.52/19.86
  6. Step 6: Final answer
    x = 88.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.