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Finding the Third Proportional to 13,390.50 and 31,662.75

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Solution

The third proportional to 13,390.50 and 31,662.75 is: 74,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.50 : 31,662.75 = 31,662.75 : x
  2. Step 2: Convert to fraction form
    13,390.50/31,662.75 = 31,662.75/x
  3. Step 3: Cross multiply
    13,390.50x = 31,662.75 × 31,662.75
  4. Step 4: Simplify right side
    13,390.50x = 1,002,529,737.56
  5. Step 5: Solve for x
    x = 1,002,529,737.56/13,390.50
  6. Step 6: Final answer
    x = 74,868.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.