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Finding the Third Proportional to 35,330 and 76,796

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Solution

The third proportional to 35,330 and 76,796 is: 166,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,330 : 76,796 = 76,796 : x
  2. Step 2: Convert to fraction form
    35,330/76,796 = 76,796/x
  3. Step 3: Cross multiply
    35,330x = 76,796 × 76,796
  4. Step 4: Simplify right side
    35,330x = 5,897,625,616
  5. Step 5: Solve for x
    x = 5,897,625,616/35,330
  6. Step 6: Final answer
    x = 166,929.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.