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Finding the Third Proportional to 1,166 and 2,681

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Solution

The third proportional to 1,166 and 2,681 is: 6,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 2,681 = 2,681 : x
  2. Step 2: Convert to fraction form
    1,166/2,681 = 2,681/x
  3. Step 3: Cross multiply
    1,166x = 2,681 × 2,681
  4. Step 4: Simplify right side
    1,166x = 7,187,761
  5. Step 5: Solve for x
    x = 7,187,761/1,166
  6. Step 6: Final answer
    x = 6,164.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.