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Finding the Third Proportional to 5,708 and 13,706

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Solution

The third proportional to 5,708 and 13,706 is: 32,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708 : 13,706 = 13,706 : x
  2. Step 2: Convert to fraction form
    5,708/13,706 = 13,706/x
  3. Step 3: Cross multiply
    5,708x = 13,706 × 13,706
  4. Step 4: Simplify right side
    5,708x = 187,854,436
  5. Step 5: Solve for x
    x = 187,854,436/5,708
  6. Step 6: Final answer
    x = 32,910.73

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.