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Finding the Third Proportional to 20,214 and 31,992.75

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Solution

The third proportional to 20,214 and 31,992.75 is: 50,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 31,992.75 = 31,992.75 : x
  2. Step 2: Convert to fraction form
    20,214/31,992.75 = 31,992.75/x
  3. Step 3: Cross multiply
    20,214x = 31,992.75 × 31,992.75
  4. Step 4: Simplify right side
    20,214x = 1,023,536,052.56
  5. Step 5: Solve for x
    x = 1,023,536,052.56/20,214
  6. Step 6: Final answer
    x = 50,635.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.