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Finding the Third Proportional to 2,080.50 and 3,134.25

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Solution

The third proportional to 2,080.50 and 3,134.25 is: 4,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.50 : 3,134.25 = 3,134.25 : x
  2. Step 2: Convert to fraction form
    2,080.50/3,134.25 = 3,134.25/x
  3. Step 3: Cross multiply
    2,080.50x = 3,134.25 × 3,134.25
  4. Step 4: Simplify right side
    2,080.50x = 9,823,523.06
  5. Step 5: Solve for x
    x = 9,823,523.06/2,080.50
  6. Step 6: Final answer
    x = 4,721.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.