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Finding the Third Proportional to 2,553.61 and 6,037.73

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Solution

The third proportional to 2,553.61 and 6,037.73 is: 14,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.61 : 6,037.73 = 6,037.73 : x
  2. Step 2: Convert to fraction form
    2,553.61/6,037.73 = 6,037.73/x
  3. Step 3: Cross multiply
    2,553.61x = 6,037.73 × 6,037.73
  4. Step 4: Simplify right side
    2,553.61x = 36,454,236.38
  5. Step 5: Solve for x
    x = 36,454,236.38/2,553.61
  6. Step 6: Final answer
    x = 14,275.57

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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.