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Finding the Third Proportional to 7,812.28 and 12,099.80

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Solution

The third proportional to 7,812.28 and 12,099.80 is: 18,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.28 : 12,099.80 = 12,099.80 : x
  2. Step 2: Convert to fraction form
    7,812.28/12,099.80 = 12,099.80/x
  3. Step 3: Cross multiply
    7,812.28x = 12,099.80 × 12,099.80
  4. Step 4: Simplify right side
    7,812.28x = 146,405,084.42
  5. Step 5: Solve for x
    x = 146,405,084.42/7,812.28
  6. Step 6: Final answer
    x = 18,740.38

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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.