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Finding the Third Proportional to 6,003 and 6,849

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Solution

The third proportional to 6,003 and 6,849 is: 7,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003 : 6,849 = 6,849 : x
  2. Step 2: Convert to fraction form
    6,003/6,849 = 6,849/x
  3. Step 3: Cross multiply
    6,003x = 6,849 × 6,849
  4. Step 4: Simplify right side
    6,003x = 46,908,801
  5. Step 5: Solve for x
    x = 46,908,801/6,003
  6. Step 6: Final answer
    x = 7,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.