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Finding the Third Proportional to 20,106 and 31,394

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Solution

The third proportional to 20,106 and 31,394 is: 49,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 31,394 = 31,394 : x
  2. Step 2: Convert to fraction form
    20,106/31,394 = 31,394/x
  3. Step 3: Cross multiply
    20,106x = 31,394 × 31,394
  4. Step 4: Simplify right side
    20,106x = 985,583,236
  5. Step 5: Solve for x
    x = 985,583,236/20,106
  6. Step 6: Final answer
    x = 49,019.36

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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.