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Finding the Third Proportional to 27,225 and 57,723

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Solution

The third proportional to 27,225 and 57,723 is: 122,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225 : 57,723 = 57,723 : x
  2. Step 2: Convert to fraction form
    27,225/57,723 = 57,723/x
  3. Step 3: Cross multiply
    27,225x = 57,723 × 57,723
  4. Step 4: Simplify right side
    27,225x = 3,331,944,729
  5. Step 5: Solve for x
    x = 3,331,944,729/27,225
  6. Step 6: Final answer
    x = 122,385.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.