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Finding the Third Proportional to 1,202.63 and 3,269.81

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Solution

The third proportional to 1,202.63 and 3,269.81 is: 8,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.63 : 3,269.81 = 3,269.81 : x
  2. Step 2: Convert to fraction form
    1,202.63/3,269.81 = 3,269.81/x
  3. Step 3: Cross multiply
    1,202.63x = 3,269.81 × 3,269.81
  4. Step 4: Simplify right side
    1,202.63x = 10,691,673.79
  5. Step 5: Solve for x
    x = 10,691,673.79/1,202.63
  6. Step 6: Final answer
    x = 8,890.28

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.