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Finding the Third Proportional to 21,355 and 31,933

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Solution

The third proportional to 21,355 and 31,933 is: 47,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355 : 31,933 = 31,933 : x
  2. Step 2: Convert to fraction form
    21,355/31,933 = 31,933/x
  3. Step 3: Cross multiply
    21,355x = 31,933 × 31,933
  4. Step 4: Simplify right side
    21,355x = 1,019,716,489
  5. Step 5: Solve for x
    x = 1,019,716,489/21,355
  6. Step 6: Final answer
    x = 47,750.71

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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.