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Finding the Third Proportional to 34,636 and 75,753

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Solution

The third proportional to 34,636 and 75,753 is: 165,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,636 : 75,753 = 75,753 : x
  2. Step 2: Convert to fraction form
    34,636/75,753 = 75,753/x
  3. Step 3: Cross multiply
    34,636x = 75,753 × 75,753
  4. Step 4: Simplify right side
    34,636x = 5,738,517,009
  5. Step 5: Solve for x
    x = 5,738,517,009/34,636
  6. Step 6: Final answer
    x = 165,680.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.