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Finding the Third Proportional to 4,621.22 and 6,769.41

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Solution

The third proportional to 4,621.22 and 6,769.41 is: 9,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.22 : 6,769.41 = 6,769.41 : x
  2. Step 2: Convert to fraction form
    4,621.22/6,769.41 = 6,769.41/x
  3. Step 3: Cross multiply
    4,621.22x = 6,769.41 × 6,769.41
  4. Step 4: Simplify right side
    4,621.22x = 45,824,860.98
  5. Step 5: Solve for x
    x = 45,824,860.98/4,621.22
  6. Step 6: Final answer
    x = 9,916.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.