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Finding the Third Proportional to 34,769 and 80,645

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Solution

The third proportional to 34,769 and 80,645 is: 187,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 80,645 = 80,645 : x
  2. Step 2: Convert to fraction form
    34,769/80,645 = 80,645/x
  3. Step 3: Cross multiply
    34,769x = 80,645 × 80,645
  4. Step 4: Simplify right side
    34,769x = 6,503,616,025
  5. Step 5: Solve for x
    x = 6,503,616,025/34,769
  6. Step 6: Final answer
    x = 187,052.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.