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Finding the Third Proportional to 2,884 and 6,418

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Solution

The third proportional to 2,884 and 6,418 is: 14,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 6,418 = 6,418 : x
  2. Step 2: Convert to fraction form
    2,884/6,418 = 6,418/x
  3. Step 3: Cross multiply
    2,884x = 6,418 × 6,418
  4. Step 4: Simplify right side
    2,884x = 41,190,724
  5. Step 5: Solve for x
    x = 41,190,724/2,884
  6. Step 6: Final answer
    x = 14,282.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.