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Finding the Third Proportional to 43.55 and 65.98

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Solution

The third proportional to 43.55 and 65.98 is: 99.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.55 : 65.98 = 65.98 : x
  2. Step 2: Convert to fraction form
    43.55/65.98 = 65.98/x
  3. Step 3: Cross multiply
    43.55x = 65.98 × 65.98
  4. Step 4: Simplify right side
    43.55x = 4,353.53
  5. Step 5: Solve for x
    x = 4,353.53/43.55
  6. Step 6: Final answer
    x = 99.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.