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Finding the Third Proportional to 2,269.13 and 3,743.44

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Solution

The third proportional to 2,269.13 and 3,743.44 is: 6,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.13 : 3,743.44 = 3,743.44 : x
  2. Step 2: Convert to fraction form
    2,269.13/3,743.44 = 3,743.44/x
  3. Step 3: Cross multiply
    2,269.13x = 3,743.44 × 3,743.44
  4. Step 4: Simplify right side
    2,269.13x = 14,013,324.32
  5. Step 5: Solve for x
    x = 14,013,324.32/2,269.13
  6. Step 6: Final answer
    x = 6,175.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.