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Finding the Third Proportional to 1,515.75 and 2,282.44

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Solution

The third proportional to 1,515.75 and 2,282.44 is: 3,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.75 : 2,282.44 = 2,282.44 : x
  2. Step 2: Convert to fraction form
    1,515.75/2,282.44 = 2,282.44/x
  3. Step 3: Cross multiply
    1,515.75x = 2,282.44 × 2,282.44
  4. Step 4: Simplify right side
    1,515.75x = 5,209,520.94
  5. Step 5: Solve for x
    x = 5,209,520.94/1,515.75
  6. Step 6: Final answer
    x = 3,436.93

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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.