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Finding the Third Proportional to 7,863.75 and 12,069.38

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Solution

The third proportional to 7,863.75 and 12,069.38 is: 18,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.75 : 12,069.38 = 12,069.38 : x
  2. Step 2: Convert to fraction form
    7,863.75/12,069.38 = 12,069.38/x
  3. Step 3: Cross multiply
    7,863.75x = 12,069.38 × 12,069.38
  4. Step 4: Simplify right side
    7,863.75x = 145,669,812.89
  5. Step 5: Solve for x
    x = 145,669,812.89/7,863.75
  6. Step 6: Final answer
    x = 18,524.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.