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Finding the Third Proportional to 34,769 and 75,947

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Solution

The third proportional to 34,769 and 75,947 is: 165,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 75,947 = 75,947 : x
  2. Step 2: Convert to fraction form
    34,769/75,947 = 75,947/x
  3. Step 3: Cross multiply
    34,769x = 75,947 × 75,947
  4. Step 4: Simplify right side
    34,769x = 5,767,946,809
  5. Step 5: Solve for x
    x = 5,767,946,809/34,769
  6. Step 6: Final answer
    x = 165,893.38

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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.