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Finding the Third Proportional to 3,543.75 and 7,629.19

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Solution

The third proportional to 3,543.75 and 7,629.19 is: 16,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.75 : 7,629.19 = 7,629.19 : x
  2. Step 2: Convert to fraction form
    3,543.75/7,629.19 = 7,629.19/x
  3. Step 3: Cross multiply
    3,543.75x = 7,629.19 × 7,629.19
  4. Step 4: Simplify right side
    3,543.75x = 58,204,501.91
  5. Step 5: Solve for x
    x = 58,204,501.91/3,543.75
  6. Step 6: Final answer
    x = 16,424.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.