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Finding the Third Proportional to 21,615.75 and 32,286.38

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Solution

The third proportional to 21,615.75 and 32,286.38 is: 48,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.75 : 32,286.38 = 32,286.38 : x
  2. Step 2: Convert to fraction form
    21,615.75/32,286.38 = 32,286.38/x
  3. Step 3: Cross multiply
    21,615.75x = 32,286.38 × 32,286.38
  4. Step 4: Simplify right side
    21,615.75x = 1,042,410,010.64
  5. Step 5: Solve for x
    x = 1,042,410,010.64/21,615.75
  6. Step 6: Final answer
    x = 48,224.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.