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Finding the Third Proportional to 2,099 and 3,334

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Solution

The third proportional to 2,099 and 3,334 is: 5,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 3,334 = 3,334 : x
  2. Step 2: Convert to fraction form
    2,099/3,334 = 3,334/x
  3. Step 3: Cross multiply
    2,099x = 3,334 × 3,334
  4. Step 4: Simplify right side
    2,099x = 11,115,556
  5. Step 5: Solve for x
    x = 11,115,556/2,099
  6. Step 6: Final answer
    x = 5,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.