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Finding the Third Proportional to 3,543.84 and 7,629.38

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Solution

The third proportional to 3,543.84 and 7,629.38 is: 16,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.84 : 7,629.38 = 7,629.38 : x
  2. Step 2: Convert to fraction form
    3,543.84/7,629.38 = 7,629.38/x
  3. Step 3: Cross multiply
    3,543.84x = 7,629.38 × 7,629.38
  4. Step 4: Simplify right side
    3,543.84x = 58,207,362.89
  5. Step 5: Solve for x
    x = 58,207,362.89/3,543.84
  6. Step 6: Final answer
    x = 16,424.92

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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.