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Finding the Third Proportional to 2,266 and 2,602

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Solution

The third proportional to 2,266 and 2,602 is: 2,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 2,602 = 2,602 : x
  2. Step 2: Convert to fraction form
    2,266/2,602 = 2,602/x
  3. Step 3: Cross multiply
    2,266x = 2,602 × 2,602
  4. Step 4: Simplify right side
    2,266x = 6,770,404
  5. Step 5: Solve for x
    x = 6,770,404/2,266
  6. Step 6: Final answer
    x = 2,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.