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Finding the Third Proportional to 51.94 and 75.56

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Solution

The third proportional to 51.94 and 75.56 is: 109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 75.56 = 75.56 : x
  2. Step 2: Convert to fraction form
    51.94/75.56 = 75.56/x
  3. Step 3: Cross multiply
    51.94x = 75.56 × 75.56
  4. Step 4: Simplify right side
    51.94x = 5,709.69
  5. Step 5: Solve for x
    x = 5,709.69/51.94
  6. Step 6: Final answer
    x = 109.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.