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Finding the Third Proportional to 20,922 and 32,051

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Solution

The third proportional to 20,922 and 32,051 is: 49,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922 : 32,051 = 32,051 : x
  2. Step 2: Convert to fraction form
    20,922/32,051 = 32,051/x
  3. Step 3: Cross multiply
    20,922x = 32,051 × 32,051
  4. Step 4: Simplify right side
    20,922x = 1,027,266,601
  5. Step 5: Solve for x
    x = 1,027,266,601/20,922
  6. Step 6: Final answer
    x = 49,099.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.