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Finding the Third Proportional to 2,619 and 4,019.63

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Solution

The third proportional to 2,619 and 4,019.63 is: 6,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 4,019.63 = 4,019.63 : x
  2. Step 2: Convert to fraction form
    2,619/4,019.63 = 4,019.63/x
  3. Step 3: Cross multiply
    2,619x = 4,019.63 × 4,019.63
  4. Step 4: Simplify right side
    2,619x = 16,157,385.14
  5. Step 5: Solve for x
    x = 16,157,385.14/2,619
  6. Step 6: Final answer
    x = 6,169.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.