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Finding the Third Proportional to 902.25 and 2,009.44

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Solution

The third proportional to 902.25 and 2,009.44 is: 4,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.25 : 2,009.44 = 2,009.44 : x
  2. Step 2: Convert to fraction form
    902.25/2,009.44 = 2,009.44/x
  3. Step 3: Cross multiply
    902.25x = 2,009.44 × 2,009.44
  4. Step 4: Simplify right side
    902.25x = 4,037,839.07
  5. Step 5: Solve for x
    x = 4,037,839.07/902.25
  6. Step 6: Final answer
    x = 4,475.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.