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Finding the Third Proportional to 7,783 and 11,837

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Solution

The third proportional to 7,783 and 11,837 is: 18,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783 : 11,837 = 11,837 : x
  2. Step 2: Convert to fraction form
    7,783/11,837 = 11,837/x
  3. Step 3: Cross multiply
    7,783x = 11,837 × 11,837
  4. Step 4: Simplify right side
    7,783x = 140,114,569
  5. Step 5: Solve for x
    x = 140,114,569/7,783
  6. Step 6: Final answer
    x = 18,002.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.