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Finding the Third Proportional to 5,926 and 12,749

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Solution

The third proportional to 5,926 and 12,749 is: 27,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926 : 12,749 = 12,749 : x
  2. Step 2: Convert to fraction form
    5,926/12,749 = 12,749/x
  3. Step 3: Cross multiply
    5,926x = 12,749 × 12,749
  4. Step 4: Simplify right side
    5,926x = 162,537,001
  5. Step 5: Solve for x
    x = 162,537,001/5,926
  6. Step 6: Final answer
    x = 27,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.