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Finding the Third Proportional to 27,293 and 58,765

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Solution

The third proportional to 27,293 and 58,765 is: 126,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293 : 58,765 = 58,765 : x
  2. Step 2: Convert to fraction form
    27,293/58,765 = 58,765/x
  3. Step 3: Cross multiply
    27,293x = 58,765 × 58,765
  4. Step 4: Simplify right side
    27,293x = 3,453,325,225
  5. Step 5: Solve for x
    x = 3,453,325,225/27,293
  6. Step 6: Final answer
    x = 126,527.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.