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Finding the Third Proportional to 22,013 and 32,939

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Solution

The third proportional to 22,013 and 32,939 is: 49,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013 : 32,939 = 32,939 : x
  2. Step 2: Convert to fraction form
    22,013/32,939 = 32,939/x
  3. Step 3: Cross multiply
    22,013x = 32,939 × 32,939
  4. Step 4: Simplify right side
    22,013x = 1,084,977,721
  5. Step 5: Solve for x
    x = 1,084,977,721/22,013
  6. Step 6: Final answer
    x = 49,288.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.