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Finding the Third Proportional to 3,404.25 and 7,444.13

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Solution

The third proportional to 3,404.25 and 7,444.13 is: 16,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.25 : 7,444.13 = 7,444.13 : x
  2. Step 2: Convert to fraction form
    3,404.25/7,444.13 = 7,444.13/x
  3. Step 3: Cross multiply
    3,404.25x = 7,444.13 × 7,444.13
  4. Step 4: Simplify right side
    3,404.25x = 55,414,997.02
  5. Step 5: Solve for x
    x = 55,414,997.02/3,404.25
  6. Step 6: Final answer
    x = 16,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.