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Finding the Third Proportional to 6,474.94 and 12,813.19

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Solution

The third proportional to 6,474.94 and 12,813.19 is: 25,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.94 : 12,813.19 = 12,813.19 : x
  2. Step 2: Convert to fraction form
    6,474.94/12,813.19 = 12,813.19/x
  3. Step 3: Cross multiply
    6,474.94x = 12,813.19 × 12,813.19
  4. Step 4: Simplify right side
    6,474.94x = 164,177,773.91
  5. Step 5: Solve for x
    x = 164,177,773.91/6,474.94
  6. Step 6: Final answer
    x = 25,355.89

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.