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Finding the Third Proportional to 1,369.69 and 2,944.69

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Solution

The third proportional to 1,369.69 and 2,944.69 is: 6,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.69 : 2,944.69 = 2,944.69 : x
  2. Step 2: Convert to fraction form
    1,369.69/2,944.69 = 2,944.69/x
  3. Step 3: Cross multiply
    1,369.69x = 2,944.69 × 2,944.69
  4. Step 4: Simplify right side
    1,369.69x = 8,671,184.47
  5. Step 5: Solve for x
    x = 8,671,184.47/1,369.69
  6. Step 6: Final answer
    x = 6,330.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.