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Finding the Third Proportional to 5,244 and 7,849

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Solution

The third proportional to 5,244 and 7,849 is: 11,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244 : 7,849 = 7,849 : x
  2. Step 2: Convert to fraction form
    5,244/7,849 = 7,849/x
  3. Step 3: Cross multiply
    5,244x = 7,849 × 7,849
  4. Step 4: Simplify right side
    5,244x = 61,606,801
  5. Step 5: Solve for x
    x = 61,606,801/5,244
  6. Step 6: Final answer
    x = 11,748.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.