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Finding the Third Proportional to 6,278 and 13,649

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Solution

The third proportional to 6,278 and 13,649 is: 29,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 13,649 = 13,649 : x
  2. Step 2: Convert to fraction form
    6,278/13,649 = 13,649/x
  3. Step 3: Cross multiply
    6,278x = 13,649 × 13,649
  4. Step 4: Simplify right side
    6,278x = 186,295,201
  5. Step 5: Solve for x
    x = 186,295,201/6,278
  6. Step 6: Final answer
    x = 29,674.29

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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.