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Finding the Third Proportional to 3,204.14 and 6,887.53

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Solution

The third proportional to 3,204.14 and 6,887.53 is: 14,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.14 : 6,887.53 = 6,887.53 : x
  2. Step 2: Convert to fraction form
    3,204.14/6,887.53 = 6,887.53/x
  3. Step 3: Cross multiply
    3,204.14x = 6,887.53 × 6,887.53
  4. Step 4: Simplify right side
    3,204.14x = 47,438,086.72
  5. Step 5: Solve for x
    x = 47,438,086.72/3,204.14
  6. Step 6: Final answer
    x = 14,805.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.