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Finding the Third Proportional to 6,603.38 and 8,993.63

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Solution

The third proportional to 6,603.38 and 8,993.63 is: 12,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.38 : 8,993.63 = 8,993.63 : x
  2. Step 2: Convert to fraction form
    6,603.38/8,993.63 = 8,993.63/x
  3. Step 3: Cross multiply
    6,603.38x = 8,993.63 × 8,993.63
  4. Step 4: Simplify right side
    6,603.38x = 80,885,290.64
  5. Step 5: Solve for x
    x = 80,885,290.64/6,603.38
  6. Step 6: Final answer
    x = 12,249.08

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Why These Related Problems?

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