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Finding the Third Proportional to 51.81 and 57.19

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Solution

The third proportional to 51.81 and 57.19 is: 63.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 57.19 = 57.19 : x
  2. Step 2: Convert to fraction form
    51.81/57.19 = 57.19/x
  3. Step 3: Cross multiply
    51.81x = 57.19 × 57.19
  4. Step 4: Simplify right side
    51.81x = 3,270.75
  5. Step 5: Solve for x
    x = 3,270.75/51.81
  6. Step 6: Final answer
    x = 63.13

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.