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Finding the Third Proportional to 2,261 and 2,589

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Solution

The third proportional to 2,261 and 2,589 is: 2,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261 : 2,589 = 2,589 : x
  2. Step 2: Convert to fraction form
    2,261/2,589 = 2,589/x
  3. Step 3: Cross multiply
    2,261x = 2,589 × 2,589
  4. Step 4: Simplify right side
    2,261x = 6,702,921
  5. Step 5: Solve for x
    x = 6,702,921/2,261
  6. Step 6: Final answer
    x = 2,964.58

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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.