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Finding the Third Proportional to 901.75 and 2,274.25

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Solution

The third proportional to 901.75 and 2,274.25 is: 5,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.75 : 2,274.25 = 2,274.25 : x
  2. Step 2: Convert to fraction form
    901.75/2,274.25 = 2,274.25/x
  3. Step 3: Cross multiply
    901.75x = 2,274.25 × 2,274.25
  4. Step 4: Simplify right side
    901.75x = 5,172,213.06
  5. Step 5: Solve for x
    x = 5,172,213.06/901.75
  6. Step 6: Final answer
    x = 5,735.75

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.