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Finding the Third Proportional to 8,596.13 and 12,917.81

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Solution

The third proportional to 8,596.13 and 12,917.81 is: 19,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 12,917.81 = 12,917.81 : x
  2. Step 2: Convert to fraction form
    8,596.13/12,917.81 = 12,917.81/x
  3. Step 3: Cross multiply
    8,596.13x = 12,917.81 × 12,917.81
  4. Step 4: Simplify right side
    8,596.13x = 166,869,879.79
  5. Step 5: Solve for x
    x = 166,869,879.79/8,596.13
  6. Step 6: Final answer
    x = 19,412.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.