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Finding the Third Proportional to 8,596.13 and 11,949.19

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Solution

The third proportional to 8,596.13 and 11,949.19 is: 16,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 11,949.19 = 11,949.19 : x
  2. Step 2: Convert to fraction form
    8,596.13/11,949.19 = 11,949.19/x
  3. Step 3: Cross multiply
    8,596.13x = 11,949.19 × 11,949.19
  4. Step 4: Simplify right side
    8,596.13x = 142,783,081.91
  5. Step 5: Solve for x
    x = 142,783,081.91/8,596.13
  6. Step 6: Final answer
    x = 16,610.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.