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Finding the Third Proportional to 21,072.38 and 31,597.88

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Solution

The third proportional to 21,072.38 and 31,597.88 is: 47,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.38 : 31,597.88 = 31,597.88 : x
  2. Step 2: Convert to fraction form
    21,072.38/31,597.88 = 31,597.88/x
  3. Step 3: Cross multiply
    21,072.38x = 31,597.88 × 31,597.88
  4. Step 4: Simplify right side
    21,072.38x = 998,425,704.52
  5. Step 5: Solve for x
    x = 998,425,704.52/21,072.38
  6. Step 6: Final answer
    x = 47,380.79

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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.