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Finding the Third Proportional to 6,424.31 and 10,012.36

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Solution

The third proportional to 6,424.31 and 10,012.36 is: 15,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.31 : 10,012.36 = 10,012.36 : x
  2. Step 2: Convert to fraction form
    6,424.31/10,012.36 = 10,012.36/x
  3. Step 3: Cross multiply
    6,424.31x = 10,012.36 × 10,012.36
  4. Step 4: Simplify right side
    6,424.31x = 100,247,340.25
  5. Step 5: Solve for x
    x = 100,247,340.25/6,424.31
  6. Step 6: Final answer
    x = 15,604.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.