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Finding the Third Proportional to 5,042 and 7,837

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Solution

The third proportional to 5,042 and 7,837 is: 12,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042 : 7,837 = 7,837 : x
  2. Step 2: Convert to fraction form
    5,042/7,837 = 7,837/x
  3. Step 3: Cross multiply
    5,042x = 7,837 × 7,837
  4. Step 4: Simplify right side
    5,042x = 61,418,569
  5. Step 5: Solve for x
    x = 61,418,569/5,042
  6. Step 6: Final answer
    x = 12,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.