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Finding the Third Proportional to 1,166 and 2,605

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Solution

The third proportional to 1,166 and 2,605 is: 5,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 2,605 = 2,605 : x
  2. Step 2: Convert to fraction form
    1,166/2,605 = 2,605/x
  3. Step 3: Cross multiply
    1,166x = 2,605 × 2,605
  4. Step 4: Simplify right side
    1,166x = 6,786,025
  5. Step 5: Solve for x
    x = 6,786,025/1,166
  6. Step 6: Final answer
    x = 5,819.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.