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Finding the Third Proportional to 43.61 and 91.71

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Solution

The third proportional to 43.61 and 91.71 is: 192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.61 : 91.71 = 91.71 : x
  2. Step 2: Convert to fraction form
    43.61/91.71 = 91.71/x
  3. Step 3: Cross multiply
    43.61x = 91.71 × 91.71
  4. Step 4: Simplify right side
    43.61x = 8,411.61
  5. Step 5: Solve for x
    x = 8,411.61/43.61
  6. Step 6: Final answer
    x = 192.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.