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Finding the Third Proportional to 6,636.94 and 9,013.78

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Solution

The third proportional to 6,636.94 and 9,013.78 is: 12,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636.94 : 9,013.78 = 9,013.78 : x
  2. Step 2: Convert to fraction form
    6,636.94/9,013.78 = 9,013.78/x
  3. Step 3: Cross multiply
    6,636.94x = 9,013.78 × 9,013.78
  4. Step 4: Simplify right side
    6,636.94x = 81,248,252.42
  5. Step 5: Solve for x
    x = 81,248,252.42/6,636.94
  6. Step 6: Final answer
    x = 12,241.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.