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Finding the Third Proportional to 2,013.75 and 2,706.56

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Solution

The third proportional to 2,013.75 and 2,706.56 is: 3,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.75 : 2,706.56 = 2,706.56 : x
  2. Step 2: Convert to fraction form
    2,013.75/2,706.56 = 2,706.56/x
  3. Step 3: Cross multiply
    2,013.75x = 2,706.56 × 2,706.56
  4. Step 4: Simplify right side
    2,013.75x = 7,325,480.57
  5. Step 5: Solve for x
    x = 7,325,480.57/2,013.75
  6. Step 6: Final answer
    x = 3,637.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.