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Finding the Third Proportional to 30,832 and 33,712

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Solution

The third proportional to 30,832 and 33,712 is: 36,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832 : 33,712 = 33,712 : x
  2. Step 2: Convert to fraction form
    30,832/33,712 = 33,712/x
  3. Step 3: Cross multiply
    30,832x = 33,712 × 33,712
  4. Step 4: Simplify right side
    30,832x = 1,136,498,944
  5. Step 5: Solve for x
    x = 1,136,498,944/30,832
  6. Step 6: Final answer
    x = 36,861.02

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.