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Finding the Third Proportional to 8,263.69 and 12,827.81

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Solution

The third proportional to 8,263.69 and 12,827.81 is: 19,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.69 : 12,827.81 = 12,827.81 : x
  2. Step 2: Convert to fraction form
    8,263.69/12,827.81 = 12,827.81/x
  3. Step 3: Cross multiply
    8,263.69x = 12,827.81 × 12,827.81
  4. Step 4: Simplify right side
    8,263.69x = 164,552,773.54
  5. Step 5: Solve for x
    x = 164,552,773.54/8,263.69
  6. Step 6: Final answer
    x = 19,912.75

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