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Finding the Third Proportional to 31,620.38 and 47,415.38

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Solution

The third proportional to 31,620.38 and 47,415.38 is: 71,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620.38 : 47,415.38 = 47,415.38 : x
  2. Step 2: Convert to fraction form
    31,620.38/47,415.38 = 47,415.38/x
  3. Step 3: Cross multiply
    31,620.38x = 47,415.38 × 47,415.38
  4. Step 4: Simplify right side
    31,620.38x = 2,248,217,786.39
  5. Step 5: Solve for x
    x = 2,248,217,786.39/31,620.38
  6. Step 6: Final answer
    x = 71,100.29

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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.