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Finding the Third Proportional to 13,900.50 and 30,570.75

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Solution

The third proportional to 13,900.50 and 30,570.75 is: 67,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.50 : 30,570.75 = 30,570.75 : x
  2. Step 2: Convert to fraction form
    13,900.50/30,570.75 = 30,570.75/x
  3. Step 3: Cross multiply
    13,900.50x = 30,570.75 × 30,570.75
  4. Step 4: Simplify right side
    13,900.50x = 934,570,755.56
  5. Step 5: Solve for x
    x = 934,570,755.56/13,900.50
  6. Step 6: Final answer
    x = 67,232.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.