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Finding the Third Proportional to 2,951.44 and 6,824.25

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Solution

The third proportional to 2,951.44 and 6,824.25 is: 15,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.44 : 6,824.25 = 6,824.25 : x
  2. Step 2: Convert to fraction form
    2,951.44/6,824.25 = 6,824.25/x
  3. Step 3: Cross multiply
    2,951.44x = 6,824.25 × 6,824.25
  4. Step 4: Simplify right side
    2,951.44x = 46,570,388.06
  5. Step 5: Solve for x
    x = 46,570,388.06/2,951.44
  6. Step 6: Final answer
    x = 15,778.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.