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Finding the Third Proportional to 6,812.72 and 10,225.97

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Solution

The third proportional to 6,812.72 and 10,225.97 is: 15,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.72 : 10,225.97 = 10,225.97 : x
  2. Step 2: Convert to fraction form
    6,812.72/10,225.97 = 10,225.97/x
  3. Step 3: Cross multiply
    6,812.72x = 10,225.97 × 10,225.97
  4. Step 4: Simplify right side
    6,812.72x = 104,570,436.88
  5. Step 5: Solve for x
    x = 104,570,436.88/6,812.72
  6. Step 6: Final answer
    x = 15,349.30

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Why These Related Problems?

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