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Finding the Third Proportional to 34,749 and 75,771

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Solution

The third proportional to 34,749 and 75,771 is: 165,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 75,771 = 75,771 : x
  2. Step 2: Convert to fraction form
    34,749/75,771 = 75,771/x
  3. Step 3: Cross multiply
    34,749x = 75,771 × 75,771
  4. Step 4: Simplify right side
    34,749x = 5,741,244,441
  5. Step 5: Solve for x
    x = 5,741,244,441/34,749
  6. Step 6: Final answer
    x = 165,220.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.