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Finding the Third Proportional to 1,659 and 3,273

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Solution

The third proportional to 1,659 and 3,273 is: 6,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659 : 3,273 = 3,273 : x
  2. Step 2: Convert to fraction form
    1,659/3,273 = 3,273/x
  3. Step 3: Cross multiply
    1,659x = 3,273 × 3,273
  4. Step 4: Simplify right side
    1,659x = 10,712,529
  5. Step 5: Solve for x
    x = 10,712,529/1,659
  6. Step 6: Final answer
    x = 6,457.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.