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Finding the Third Proportional to 2,919.38 and 5,590.69

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Solution

The third proportional to 2,919.38 and 5,590.69 is: 10,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.38 : 5,590.69 = 5,590.69 : x
  2. Step 2: Convert to fraction form
    2,919.38/5,590.69 = 5,590.69/x
  3. Step 3: Cross multiply
    2,919.38x = 5,590.69 × 5,590.69
  4. Step 4: Simplify right side
    2,919.38x = 31,255,786.72
  5. Step 5: Solve for x
    x = 31,255,786.72/2,919.38
  6. Step 6: Final answer
    x = 10,706.33

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.