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Finding the Third Proportional to 75.94 and 82.69

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Solution

The third proportional to 75.94 and 82.69 is: 90.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 82.69 = 82.69 : x
  2. Step 2: Convert to fraction form
    75.94/82.69 = 82.69/x
  3. Step 3: Cross multiply
    75.94x = 82.69 × 82.69
  4. Step 4: Simplify right side
    75.94x = 6,837.22
  5. Step 5: Solve for x
    x = 6,837.22/75.94
  6. Step 6: Final answer
    x = 90.04

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.