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Finding the Third Proportional to 6,083.86 and 9,399.80

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Solution

The third proportional to 6,083.86 and 9,399.80 is: 14,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.86 : 9,399.80 = 9,399.80 : x
  2. Step 2: Convert to fraction form
    6,083.86/9,399.80 = 9,399.80/x
  3. Step 3: Cross multiply
    6,083.86x = 9,399.80 × 9,399.80
  4. Step 4: Simplify right side
    6,083.86x = 88,356,181.29
  5. Step 5: Solve for x
    x = 88,356,181.29/6,083.86
  6. Step 6: Final answer
    x = 14,523.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.