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Finding the Third Proportional to 13,178 and 18,771

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Solution

The third proportional to 13,178 and 18,771 is: 26,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 18,771 = 18,771 : x
  2. Step 2: Convert to fraction form
    13,178/18,771 = 18,771/x
  3. Step 3: Cross multiply
    13,178x = 18,771 × 18,771
  4. Step 4: Simplify right side
    13,178x = 352,350,441
  5. Step 5: Solve for x
    x = 352,350,441/13,178
  6. Step 6: Final answer
    x = 26,737.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.