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Finding the Third Proportional to 7,941.94 and 16,974.56

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Solution

The third proportional to 7,941.94 and 16,974.56 is: 36,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.94 : 16,974.56 = 16,974.56 : x
  2. Step 2: Convert to fraction form
    7,941.94/16,974.56 = 16,974.56/x
  3. Step 3: Cross multiply
    7,941.94x = 16,974.56 × 16,974.56
  4. Step 4: Simplify right side
    7,941.94x = 288,135,772.07
  5. Step 5: Solve for x
    x = 288,135,772.07/7,941.94
  6. Step 6: Final answer
    x = 36,280.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.