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Finding the Third Proportional to 866.06 and 936.19

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Solution

The third proportional to 866.06 and 936.19 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.06 : 936.19 = 936.19 : x
  2. Step 2: Convert to fraction form
    866.06/936.19 = 936.19/x
  3. Step 3: Cross multiply
    866.06x = 936.19 × 936.19
  4. Step 4: Simplify right side
    866.06x = 876,447.04
  5. Step 5: Solve for x
    x = 876,447.04/866.06
  6. Step 6: Final answer
    x = 1,011.99

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.