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Finding the Third Proportional to 2,669 and 5,833

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Solution

The third proportional to 2,669 and 5,833 is: 12,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 5,833 = 5,833 : x
  2. Step 2: Convert to fraction form
    2,669/5,833 = 5,833/x
  3. Step 3: Cross multiply
    2,669x = 5,833 × 5,833
  4. Step 4: Simplify right side
    2,669x = 34,023,889
  5. Step 5: Solve for x
    x = 34,023,889/2,669
  6. Step 6: Final answer
    x = 12,747.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.