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Finding the Third Proportional to 2,755.97 and 6,500.53

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Solution

The third proportional to 2,755.97 and 6,500.53 is: 15,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.97 : 6,500.53 = 6,500.53 : x
  2. Step 2: Convert to fraction form
    2,755.97/6,500.53 = 6,500.53/x
  3. Step 3: Cross multiply
    2,755.97x = 6,500.53 × 6,500.53
  4. Step 4: Simplify right side
    2,755.97x = 42,256,906.53
  5. Step 5: Solve for x
    x = 42,256,906.53/2,755.97
  6. Step 6: Final answer
    x = 15,332.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.