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Finding the Third Proportional to 1,323 and 2,849

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Solution

The third proportional to 1,323 and 2,849 is: 6,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323 : 2,849 = 2,849 : x
  2. Step 2: Convert to fraction form
    1,323/2,849 = 2,849/x
  3. Step 3: Cross multiply
    1,323x = 2,849 × 2,849
  4. Step 4: Simplify right side
    1,323x = 8,116,801
  5. Step 5: Solve for x
    x = 8,116,801/1,323
  6. Step 6: Final answer
    x = 6,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.