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Finding the Third Proportional to 13,757 and 20,767

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Solution

The third proportional to 13,757 and 20,767 is: 31,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757 : 20,767 = 20,767 : x
  2. Step 2: Convert to fraction form
    13,757/20,767 = 20,767/x
  3. Step 3: Cross multiply
    13,757x = 20,767 × 20,767
  4. Step 4: Simplify right side
    13,757x = 431,268,289
  5. Step 5: Solve for x
    x = 431,268,289/13,757
  6. Step 6: Final answer
    x = 31,349.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.