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Finding the Third Proportional to 1,650 and 2,651

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Solution

The third proportional to 1,650 and 2,651 is: 4,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 2,651 = 2,651 : x
  2. Step 2: Convert to fraction form
    1,650/2,651 = 2,651/x
  3. Step 3: Cross multiply
    1,650x = 2,651 × 2,651
  4. Step 4: Simplify right side
    1,650x = 7,027,801
  5. Step 5: Solve for x
    x = 7,027,801/1,650
  6. Step 6: Final answer
    x = 4,259.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.