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Finding the Third Proportional to 2,984 and 6,463

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Solution

The third proportional to 2,984 and 6,463 is: 13,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984 : 6,463 = 6,463 : x
  2. Step 2: Convert to fraction form
    2,984/6,463 = 6,463/x
  3. Step 3: Cross multiply
    2,984x = 6,463 × 6,463
  4. Step 4: Simplify right side
    2,984x = 41,770,369
  5. Step 5: Solve for x
    x = 41,770,369/2,984
  6. Step 6: Final answer
    x = 13,998.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.