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Finding the Third Proportional to 901.97 and 1,956.94

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Solution

The third proportional to 901.97 and 1,956.94 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.97 : 1,956.94 = 1,956.94 : x
  2. Step 2: Convert to fraction form
    901.97/1,956.94 = 1,956.94/x
  3. Step 3: Cross multiply
    901.97x = 1,956.94 × 1,956.94
  4. Step 4: Simplify right side
    901.97x = 3,829,604.38
  5. Step 5: Solve for x
    x = 3,829,604.38/901.97
  6. Step 6: Final answer
    x = 4,245.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.