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Finding the Third Proportional to 51.87 and 75.54

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Solution

The third proportional to 51.87 and 75.54 is: 110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.87 : 75.54 = 75.54 : x
  2. Step 2: Convert to fraction form
    51.87/75.54 = 75.54/x
  3. Step 3: Cross multiply
    51.87x = 75.54 × 75.54
  4. Step 4: Simplify right side
    51.87x = 5,706.15
  5. Step 5: Solve for x
    x = 5,706.15/51.87
  6. Step 6: Final answer
    x = 110.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.