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Finding the Third Proportional to 26,794 and 58,201

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Solution

The third proportional to 26,794 and 58,201 is: 126,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794 : 58,201 = 58,201 : x
  2. Step 2: Convert to fraction form
    26,794/58,201 = 58,201/x
  3. Step 3: Cross multiply
    26,794x = 58,201 × 58,201
  4. Step 4: Simplify right side
    26,794x = 3,387,356,401
  5. Step 5: Solve for x
    x = 3,387,356,401/26,794
  6. Step 6: Final answer
    x = 126,422.20

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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.