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Finding the Third Proportional to 51.96 and 75.66

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Solution

The third proportional to 51.96 and 75.66 is: 110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 75.66 = 75.66 : x
  2. Step 2: Convert to fraction form
    51.96/75.66 = 75.66/x
  3. Step 3: Cross multiply
    51.96x = 75.66 × 75.66
  4. Step 4: Simplify right side
    51.96x = 5,723.87
  5. Step 5: Solve for x
    x = 5,723.87/51.96
  6. Step 6: Final answer
    x = 110.16

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Why These Related Problems?

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