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Finding the Third Proportional to 2,023 and 2,581

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Solution

The third proportional to 2,023 and 2,581 is: 3,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 2,581 = 2,581 : x
  2. Step 2: Convert to fraction form
    2,023/2,581 = 2,581/x
  3. Step 3: Cross multiply
    2,023x = 2,581 × 2,581
  4. Step 4: Simplify right side
    2,023x = 6,661,561
  5. Step 5: Solve for x
    x = 6,661,561/2,023
  6. Step 6: Final answer
    x = 3,292.91

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.