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Finding the Third Proportional to 6,448 and 13,739

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Solution

The third proportional to 6,448 and 13,739 is: 29,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448 : 13,739 = 13,739 : x
  2. Step 2: Convert to fraction form
    6,448/13,739 = 13,739/x
  3. Step 3: Cross multiply
    6,448x = 13,739 × 13,739
  4. Step 4: Simplify right side
    6,448x = 188,760,121
  5. Step 5: Solve for x
    x = 188,760,121/6,448
  6. Step 6: Final answer
    x = 29,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.