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Finding the Third Proportional to 16,769 and 18,713

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Solution

The third proportional to 16,769 and 18,713 is: 20,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769 : 18,713 = 18,713 : x
  2. Step 2: Convert to fraction form
    16,769/18,713 = 18,713/x
  3. Step 3: Cross multiply
    16,769x = 18,713 × 18,713
  4. Step 4: Simplify right side
    16,769x = 350,176,369
  5. Step 5: Solve for x
    x = 350,176,369/16,769
  6. Step 6: Final answer
    x = 20,882.36

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.