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Finding the Third Proportional to 7,669.69 and 12,233.53

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Solution

The third proportional to 7,669.69 and 12,233.53 is: 19,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 12,233.53 = 12,233.53 : x
  2. Step 2: Convert to fraction form
    7,669.69/12,233.53 = 12,233.53/x
  3. Step 3: Cross multiply
    7,669.69x = 12,233.53 × 12,233.53
  4. Step 4: Simplify right side
    7,669.69x = 149,659,286.84
  5. Step 5: Solve for x
    x = 149,659,286.84/7,669.69
  6. Step 6: Final answer
    x = 19,513.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.