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Finding the Third Proportional to 3,283.41 and 7,295.81

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Solution

The third proportional to 3,283.41 and 7,295.81 is: 16,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.41 : 7,295.81 = 7,295.81 : x
  2. Step 2: Convert to fraction form
    3,283.41/7,295.81 = 7,295.81/x
  3. Step 3: Cross multiply
    3,283.41x = 7,295.81 × 7,295.81
  4. Step 4: Simplify right side
    3,283.41x = 53,228,880.04
  5. Step 5: Solve for x
    x = 53,228,880.04/3,283.41
  6. Step 6: Final answer
    x = 16,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.