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Finding the Third Proportional to 2,683 and 6,269

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Solution

The third proportional to 2,683 and 6,269 is: 14,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683 : 6,269 = 6,269 : x
  2. Step 2: Convert to fraction form
    2,683/6,269 = 6,269/x
  3. Step 3: Cross multiply
    2,683x = 6,269 × 6,269
  4. Step 4: Simplify right side
    2,683x = 39,300,361
  5. Step 5: Solve for x
    x = 39,300,361/2,683
  6. Step 6: Final answer
    x = 14,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.