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Finding the Third Proportional to 2,090 and 2,266

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Solution

The third proportional to 2,090 and 2,266 is: 2,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090 : 2,266 = 2,266 : x
  2. Step 2: Convert to fraction form
    2,090/2,266 = 2,266/x
  3. Step 3: Cross multiply
    2,090x = 2,266 × 2,266
  4. Step 4: Simplify right side
    2,090x = 5,134,756
  5. Step 5: Solve for x
    x = 5,134,756/2,090
  6. Step 6: Final answer
    x = 2,456.82

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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.