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Finding the Third Proportional to 2,997.75 and 6,542.25

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Solution

The third proportional to 2,997.75 and 6,542.25 is: 14,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.75 : 6,542.25 = 6,542.25 : x
  2. Step 2: Convert to fraction form
    2,997.75/6,542.25 = 6,542.25/x
  3. Step 3: Cross multiply
    2,997.75x = 6,542.25 × 6,542.25
  4. Step 4: Simplify right side
    2,997.75x = 42,801,035.06
  5. Step 5: Solve for x
    x = 42,801,035.06/2,997.75
  6. Step 6: Final answer
    x = 14,277.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.