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Finding the Third Proportional to 2,479.50 and 3,921.75

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Solution

The third proportional to 2,479.50 and 3,921.75 is: 6,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.50 : 3,921.75 = 3,921.75 : x
  2. Step 2: Convert to fraction form
    2,479.50/3,921.75 = 3,921.75/x
  3. Step 3: Cross multiply
    2,479.50x = 3,921.75 × 3,921.75
  4. Step 4: Simplify right side
    2,479.50x = 15,380,123.06
  5. Step 5: Solve for x
    x = 15,380,123.06/2,479.50
  6. Step 6: Final answer
    x = 6,202.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.