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Finding the Third Proportional to 27,247.50 and 58,795

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Solution

The third proportional to 27,247.50 and 58,795 is: 126,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247.50 : 58,795 = 58,795 : x
  2. Step 2: Convert to fraction form
    27,247.50/58,795 = 58,795/x
  3. Step 3: Cross multiply
    27,247.50x = 58,795 × 58,795
  4. Step 4: Simplify right side
    27,247.50x = 3,456,852,025
  5. Step 5: Solve for x
    x = 3,456,852,025/27,247.50
  6. Step 6: Final answer
    x = 126,868.59

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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.