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Finding the Third Proportional to 6,366.94 and 8,373.38

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Solution

The third proportional to 6,366.94 and 8,373.38 is: 11,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.94 : 8,373.38 = 8,373.38 : x
  2. Step 2: Convert to fraction form
    6,366.94/8,373.38 = 8,373.38/x
  3. Step 3: Cross multiply
    6,366.94x = 8,373.38 × 8,373.38
  4. Step 4: Simplify right side
    6,366.94x = 70,113,408.89
  5. Step 5: Solve for x
    x = 70,113,408.89/6,366.94
  6. Step 6: Final answer
    x = 11,012.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.