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Finding the Third Proportional to 51.56 and 75.84

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Solution

The third proportional to 51.56 and 75.84 is: 111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.56 : 75.84 = 75.84 : x
  2. Step 2: Convert to fraction form
    51.56/75.84 = 75.84/x
  3. Step 3: Cross multiply
    51.56x = 75.84 × 75.84
  4. Step 4: Simplify right side
    51.56x = 5,752.27
  5. Step 5: Solve for x
    x = 5,752.27/51.56
  6. Step 6: Final answer
    x = 111.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.