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Finding the Third Proportional to 35,329 and 76,793

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Solution

The third proportional to 35,329 and 76,793 is: 166,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,329 : 76,793 = 76,793 : x
  2. Step 2: Convert to fraction form
    35,329/76,793 = 76,793/x
  3. Step 3: Cross multiply
    35,329x = 76,793 × 76,793
  4. Step 4: Simplify right side
    35,329x = 5,897,164,849
  5. Step 5: Solve for x
    x = 5,897,164,849/35,329
  6. Step 6: Final answer
    x = 166,921.36

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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.