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Finding the Third Proportional to 1,039.75 and 2,404.25

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Solution

The third proportional to 1,039.75 and 2,404.25 is: 5,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.75 : 2,404.25 = 2,404.25 : x
  2. Step 2: Convert to fraction form
    1,039.75/2,404.25 = 2,404.25/x
  3. Step 3: Cross multiply
    1,039.75x = 2,404.25 × 2,404.25
  4. Step 4: Simplify right side
    1,039.75x = 5,780,418.06
  5. Step 5: Solve for x
    x = 5,780,418.06/1,039.75
  6. Step 6: Final answer
    x = 5,559.43

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.