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Finding the Third Proportional to 13,222 and 27,741

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Solution

The third proportional to 13,222 and 27,741 is: 58,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222 : 27,741 = 27,741 : x
  2. Step 2: Convert to fraction form
    13,222/27,741 = 27,741/x
  3. Step 3: Cross multiply
    13,222x = 27,741 × 27,741
  4. Step 4: Simplify right side
    13,222x = 769,563,081
  5. Step 5: Solve for x
    x = 769,563,081/13,222
  6. Step 6: Final answer
    x = 58,203.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.