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Finding the Third Proportional to 20,178 and 31,372

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Solution

The third proportional to 20,178 and 31,372 is: 48,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 31,372 = 31,372 : x
  2. Step 2: Convert to fraction form
    20,178/31,372 = 31,372/x
  3. Step 3: Cross multiply
    20,178x = 31,372 × 31,372
  4. Step 4: Simplify right side
    20,178x = 984,202,384
  5. Step 5: Solve for x
    x = 984,202,384/20,178
  6. Step 6: Final answer
    x = 48,776.01

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Why These Related Problems?

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