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Finding the Third Proportional to 20,122 and 31,102

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Solution

The third proportional to 20,122 and 31,102 is: 48,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 31,102 = 31,102 : x
  2. Step 2: Convert to fraction form
    20,122/31,102 = 31,102/x
  3. Step 3: Cross multiply
    20,122x = 31,102 × 31,102
  4. Step 4: Simplify right side
    20,122x = 967,334,404
  5. Step 5: Solve for x
    x = 967,334,404/20,122
  6. Step 6: Final answer
    x = 48,073.47

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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.