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Finding the Third Proportional to 13,314.38 and 31,002.75

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Solution

The third proportional to 13,314.38 and 31,002.75 is: 72,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.38 : 31,002.75 = 31,002.75 : x
  2. Step 2: Convert to fraction form
    13,314.38/31,002.75 = 31,002.75/x
  3. Step 3: Cross multiply
    13,314.38x = 31,002.75 × 31,002.75
  4. Step 4: Simplify right side
    13,314.38x = 961,170,507.56
  5. Step 5: Solve for x
    x = 961,170,507.56/13,314.38
  6. Step 6: Final answer
    x = 72,190.43

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.