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Finding the Third Proportional to 5,708 and 13,738

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Solution

The third proportional to 5,708 and 13,738 is: 33,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708 : 13,738 = 13,738 : x
  2. Step 2: Convert to fraction form
    5,708/13,738 = 13,738/x
  3. Step 3: Cross multiply
    5,708x = 13,738 × 13,738
  4. Step 4: Simplify right side
    5,708x = 188,732,644
  5. Step 5: Solve for x
    x = 188,732,644/5,708
  6. Step 6: Final answer
    x = 33,064.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.