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Finding the Third Proportional to 5,350.50 and 12,889.75

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Solution

The third proportional to 5,350.50 and 12,889.75 is: 31,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.50 : 12,889.75 = 12,889.75 : x
  2. Step 2: Convert to fraction form
    5,350.50/12,889.75 = 12,889.75/x
  3. Step 3: Cross multiply
    5,350.50x = 12,889.75 × 12,889.75
  4. Step 4: Simplify right side
    5,350.50x = 166,145,655.06
  5. Step 5: Solve for x
    x = 166,145,655.06/5,350.50
  6. Step 6: Final answer
    x = 31,052.36

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.