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Finding the Third Proportional to 2,876.25 and 3,837.75

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Solution

The third proportional to 2,876.25 and 3,837.75 is: 5,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.25 : 3,837.75 = 3,837.75 : x
  2. Step 2: Convert to fraction form
    2,876.25/3,837.75 = 3,837.75/x
  3. Step 3: Cross multiply
    2,876.25x = 3,837.75 × 3,837.75
  4. Step 4: Simplify right side
    2,876.25x = 14,728,325.06
  5. Step 5: Solve for x
    x = 14,728,325.06/2,876.25
  6. Step 6: Final answer
    x = 5,120.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.