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Finding the Third Proportional to 27,233 and 58,769

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Solution

The third proportional to 27,233 and 58,769 is: 126,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233 : 58,769 = 58,769 : x
  2. Step 2: Convert to fraction form
    27,233/58,769 = 58,769/x
  3. Step 3: Cross multiply
    27,233x = 58,769 × 58,769
  4. Step 4: Simplify right side
    27,233x = 3,453,795,361
  5. Step 5: Solve for x
    x = 3,453,795,361/27,233
  6. Step 6: Final answer
    x = 126,823.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.