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Finding the Third Proportional to 2,179.75 and 3,334.25

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Solution

The third proportional to 2,179.75 and 3,334.25 is: 5,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.75 : 3,334.25 = 3,334.25 : x
  2. Step 2: Convert to fraction form
    2,179.75/3,334.25 = 3,334.25/x
  3. Step 3: Cross multiply
    2,179.75x = 3,334.25 × 3,334.25
  4. Step 4: Simplify right side
    2,179.75x = 11,117,223.06
  5. Step 5: Solve for x
    x = 11,117,223.06/2,179.75
  6. Step 6: Final answer
    x = 5,100.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.