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Finding the Third Proportional to 6,812.44 and 15,219.28

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Solution

The third proportional to 6,812.44 and 15,219.28 is: 34,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.44 : 15,219.28 = 15,219.28 : x
  2. Step 2: Convert to fraction form
    6,812.44/15,219.28 = 15,219.28/x
  3. Step 3: Cross multiply
    6,812.44x = 15,219.28 × 15,219.28
  4. Step 4: Simplify right side
    6,812.44x = 231,626,521.77
  5. Step 5: Solve for x
    x = 231,626,521.77/6,812.44
  6. Step 6: Final answer
    x = 34,000.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.