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Finding the Third Proportional to 35,016 and 76,834

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Solution

The third proportional to 35,016 and 76,834 is: 168,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016 : 76,834 = 76,834 : x
  2. Step 2: Convert to fraction form
    35,016/76,834 = 76,834/x
  3. Step 3: Cross multiply
    35,016x = 76,834 × 76,834
  4. Step 4: Simplify right side
    35,016x = 5,903,463,556
  5. Step 5: Solve for x
    x = 5,903,463,556/35,016
  6. Step 6: Final answer
    x = 168,593.32

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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.