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Finding the Third Proportional to 5,842 and 13,775

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Solution

The third proportional to 5,842 and 13,775 is: 32,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 13,775 = 13,775 : x
  2. Step 2: Convert to fraction form
    5,842/13,775 = 13,775/x
  3. Step 3: Cross multiply
    5,842x = 13,775 × 13,775
  4. Step 4: Simplify right side
    5,842x = 189,750,625
  5. Step 5: Solve for x
    x = 189,750,625/5,842
  6. Step 6: Final answer
    x = 32,480.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.