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Finding the Third Proportional to 7,286.67 and 10,957.03

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Solution

The third proportional to 7,286.67 and 10,957.03 is: 16,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.67 : 10,957.03 = 10,957.03 : x
  2. Step 2: Convert to fraction form
    7,286.67/10,957.03 = 10,957.03/x
  3. Step 3: Cross multiply
    7,286.67x = 10,957.03 × 10,957.03
  4. Step 4: Simplify right side
    7,286.67x = 120,056,533.81
  5. Step 5: Solve for x
    x = 120,056,533.81/7,286.67
  6. Step 6: Final answer
    x = 16,476.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.