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Finding the Third Proportional to 20,019 and 31,404

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Solution

The third proportional to 20,019 and 31,404 is: 49,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019 : 31,404 = 31,404 : x
  2. Step 2: Convert to fraction form
    20,019/31,404 = 31,404/x
  3. Step 3: Cross multiply
    20,019x = 31,404 × 31,404
  4. Step 4: Simplify right side
    20,019x = 986,211,216
  5. Step 5: Solve for x
    x = 986,211,216/20,019
  6. Step 6: Final answer
    x = 49,263.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.