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Finding the Third Proportional to 27,742 and 57,749

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Solution

The third proportional to 27,742 and 57,749 is: 120,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742 : 57,749 = 57,749 : x
  2. Step 2: Convert to fraction form
    27,742/57,749 = 57,749/x
  3. Step 3: Cross multiply
    27,742x = 57,749 × 57,749
  4. Step 4: Simplify right side
    27,742x = 3,334,947,001
  5. Step 5: Solve for x
    x = 3,334,947,001/27,742
  6. Step 6: Final answer
    x = 120,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.