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Finding the Third Proportional to 943.59 and 2,072.81

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Solution

The third proportional to 943.59 and 2,072.81 is: 4,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 2,072.81 = 2,072.81 : x
  2. Step 2: Convert to fraction form
    943.59/2,072.81 = 2,072.81/x
  3. Step 3: Cross multiply
    943.59x = 2,072.81 × 2,072.81
  4. Step 4: Simplify right side
    943.59x = 4,296,551.66
  5. Step 5: Solve for x
    x = 4,296,551.66/943.59
  6. Step 6: Final answer
    x = 4,553.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.