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Finding the Third Proportional to 2,731.50 and 5,898.75

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Solution

The third proportional to 2,731.50 and 5,898.75 is: 12,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.50 : 5,898.75 = 5,898.75 : x
  2. Step 2: Convert to fraction form
    2,731.50/5,898.75 = 5,898.75/x
  3. Step 3: Cross multiply
    2,731.50x = 5,898.75 × 5,898.75
  4. Step 4: Simplify right side
    2,731.50x = 34,795,251.56
  5. Step 5: Solve for x
    x = 34,795,251.56/2,731.50
  6. Step 6: Final answer
    x = 12,738.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.