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Finding the Third Proportional to 20,106 and 29,071

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Solution

The third proportional to 20,106 and 29,071 is: 42,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 29,071 = 29,071 : x
  2. Step 2: Convert to fraction form
    20,106/29,071 = 29,071/x
  3. Step 3: Cross multiply
    20,106x = 29,071 × 29,071
  4. Step 4: Simplify right side
    20,106x = 845,123,041
  5. Step 5: Solve for x
    x = 845,123,041/20,106
  6. Step 6: Final answer
    x = 42,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.