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Finding the Third Proportional to 2,009 and 3,473

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Solution

The third proportional to 2,009 and 3,473 is: 6,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 3,473 = 3,473 : x
  2. Step 2: Convert to fraction form
    2,009/3,473 = 3,473/x
  3. Step 3: Cross multiply
    2,009x = 3,473 × 3,473
  4. Step 4: Simplify right side
    2,009x = 12,061,729
  5. Step 5: Solve for x
    x = 12,061,729/2,009
  6. Step 6: Final answer
    x = 6,003.85

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.