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Finding the Third Proportional to 8,229.09 and 14,679.98

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Solution

The third proportional to 8,229.09 and 14,679.98 is: 26,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.09 : 14,679.98 = 14,679.98 : x
  2. Step 2: Convert to fraction form
    8,229.09/14,679.98 = 14,679.98/x
  3. Step 3: Cross multiply
    8,229.09x = 14,679.98 × 14,679.98
  4. Step 4: Simplify right side
    8,229.09x = 215,501,941.25
  5. Step 5: Solve for x
    x = 215,501,941.25/8,229.09
  6. Step 6: Final answer
    x = 26,187.81

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.