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Finding the Third Proportional to 20,162 and 34,473

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Solution

The third proportional to 20,162 and 34,473 is: 58,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162 : 34,473 = 34,473 : x
  2. Step 2: Convert to fraction form
    20,162/34,473 = 34,473/x
  3. Step 3: Cross multiply
    20,162x = 34,473 × 34,473
  4. Step 4: Simplify right side
    20,162x = 1,188,387,729
  5. Step 5: Solve for x
    x = 1,188,387,729/20,162
  6. Step 6: Final answer
    x = 58,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.