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Finding the Third Proportional to 13,771 and 21,306

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Solution

The third proportional to 13,771 and 21,306 is: 32,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771 : 21,306 = 21,306 : x
  2. Step 2: Convert to fraction form
    13,771/21,306 = 21,306/x
  3. Step 3: Cross multiply
    13,771x = 21,306 × 21,306
  4. Step 4: Simplify right side
    13,771x = 453,945,636
  5. Step 5: Solve for x
    x = 453,945,636/13,771
  6. Step 6: Final answer
    x = 32,963.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.