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Finding the Third Proportional to 6,474.15 and 14,155.70

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Solution

The third proportional to 6,474.15 and 14,155.70 is: 30,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.15 : 14,155.70 = 14,155.70 : x
  2. Step 2: Convert to fraction form
    6,474.15/14,155.70 = 14,155.70/x
  3. Step 3: Cross multiply
    6,474.15x = 14,155.70 × 14,155.70
  4. Step 4: Simplify right side
    6,474.15x = 200,383,820.37
  5. Step 5: Solve for x
    x = 200,383,820.37/6,474.15
  6. Step 6: Final answer
    x = 30,951.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.