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Finding the Third Proportional to 27,896 and 57,723

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Solution

The third proportional to 27,896 and 57,723 is: 119,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896 : 57,723 = 57,723 : x
  2. Step 2: Convert to fraction form
    27,896/57,723 = 57,723/x
  3. Step 3: Cross multiply
    27,896x = 57,723 × 57,723
  4. Step 4: Simplify right side
    27,896x = 3,331,944,729
  5. Step 5: Solve for x
    x = 3,331,944,729/27,896
  6. Step 6: Final answer
    x = 119,441.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.