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Finding the Third Proportional to 2,590 and 2,836

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Solution

The third proportional to 2,590 and 2,836 is: 3,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590 : 2,836 = 2,836 : x
  2. Step 2: Convert to fraction form
    2,590/2,836 = 2,836/x
  3. Step 3: Cross multiply
    2,590x = 2,836 × 2,836
  4. Step 4: Simplify right side
    2,590x = 8,042,896
  5. Step 5: Solve for x
    x = 8,042,896/2,590
  6. Step 6: Final answer
    x = 3,105.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.