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Finding the Third Proportional to 26,204 and 58,213

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Solution

The third proportional to 26,204 and 58,213 is: 129,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204 : 58,213 = 58,213 : x
  2. Step 2: Convert to fraction form
    26,204/58,213 = 58,213/x
  3. Step 3: Cross multiply
    26,204x = 58,213 × 58,213
  4. Step 4: Simplify right side
    26,204x = 3,388,753,369
  5. Step 5: Solve for x
    x = 3,388,753,369/26,204
  6. Step 6: Final answer
    x = 129,321.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.