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Finding the Third Proportional to 826 and 1,176

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Solution

The third proportional to 826 and 1,176 is: 1,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    826 : 1,176 = 1,176 : x
  2. Step 2: Convert to fraction form
    826/1,176 = 1,176/x
  3. Step 3: Cross multiply
    826x = 1,176 × 1,176
  4. Step 4: Simplify right side
    826x = 1,382,976
  5. Step 5: Solve for x
    x = 1,382,976/826
  6. Step 6: Final answer
    x = 1,674.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.