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Finding the Third Proportional to 2,080.50 and 4,908.75

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Solution

The third proportional to 2,080.50 and 4,908.75 is: 11,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.50 : 4,908.75 = 4,908.75 : x
  2. Step 2: Convert to fraction form
    2,080.50/4,908.75 = 4,908.75/x
  3. Step 3: Cross multiply
    2,080.50x = 4,908.75 × 4,908.75
  4. Step 4: Simplify right side
    2,080.50x = 24,095,826.56
  5. Step 5: Solve for x
    x = 24,095,826.56/2,080.50
  6. Step 6: Final answer
    x = 11,581.75

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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.