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Finding the Third Proportional to 34,756 and 75,884

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Solution

The third proportional to 34,756 and 75,884 is: 165,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,756 : 75,884 = 75,884 : x
  2. Step 2: Convert to fraction form
    34,756/75,884 = 75,884/x
  3. Step 3: Cross multiply
    34,756x = 75,884 × 75,884
  4. Step 4: Simplify right side
    34,756x = 5,758,381,456
  5. Step 5: Solve for x
    x = 5,758,381,456/34,756
  6. Step 6: Final answer
    x = 165,680.21

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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.