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Finding the Third Proportional to 41.77 and 91.36

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Solution

The third proportional to 41.77 and 91.36 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 91.36 = 91.36 : x
  2. Step 2: Convert to fraction form
    41.77/91.36 = 91.36/x
  3. Step 3: Cross multiply
    41.77x = 91.36 × 91.36
  4. Step 4: Simplify right side
    41.77x = 8,347.07
  5. Step 5: Solve for x
    x = 8,347.07/41.77
  6. Step 6: Final answer
    x = 199.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.