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Finding the Third Proportional to 2,519.02 and 3,764.60

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Solution

The third proportional to 2,519.02 and 3,764.60 is: 5,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.02 : 3,764.60 = 3,764.60 : x
  2. Step 2: Convert to fraction form
    2,519.02/3,764.60 = 3,764.60/x
  3. Step 3: Cross multiply
    2,519.02x = 3,764.60 × 3,764.60
  4. Step 4: Simplify right side
    2,519.02x = 14,172,224.92
  5. Step 5: Solve for x
    x = 14,172,224.92/2,519.02
  6. Step 6: Final answer
    x = 5,626.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.