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Finding the Third Proportional to 43.50 and 52.38

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Solution

The third proportional to 43.50 and 52.38 is: 63.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 52.38 = 52.38 : x
  2. Step 2: Convert to fraction form
    43.50/52.38 = 52.38/x
  3. Step 3: Cross multiply
    43.50x = 52.38 × 52.38
  4. Step 4: Simplify right side
    43.50x = 2,743.14
  5. Step 5: Solve for x
    x = 2,743.14/43.50
  6. Step 6: Final answer
    x = 63.06

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.