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Finding the Third Proportional to 6,769.13 and 10,153.69

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Solution

The third proportional to 6,769.13 and 10,153.69 is: 15,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.13 : 10,153.69 = 10,153.69 : x
  2. Step 2: Convert to fraction form
    6,769.13/10,153.69 = 10,153.69/x
  3. Step 3: Cross multiply
    6,769.13x = 10,153.69 × 10,153.69
  4. Step 4: Simplify right side
    6,769.13x = 103,097,369.85
  5. Step 5: Solve for x
    x = 103,097,369.85/6,769.13
  6. Step 6: Final answer
    x = 15,230.53

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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.