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Finding the Third Proportional to 20,122 and 31,404

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Solution

The third proportional to 20,122 and 31,404 is: 49,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 31,404 = 31,404 : x
  2. Step 2: Convert to fraction form
    20,122/31,404 = 31,404/x
  3. Step 3: Cross multiply
    20,122x = 31,404 × 31,404
  4. Step 4: Simplify right side
    20,122x = 986,211,216
  5. Step 5: Solve for x
    x = 986,211,216/20,122
  6. Step 6: Final answer
    x = 49,011.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.