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Finding the Third Proportional to 5,919.75 and 7,003.13

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Solution

The third proportional to 5,919.75 and 7,003.13 is: 8,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.75 : 7,003.13 = 7,003.13 : x
  2. Step 2: Convert to fraction form
    5,919.75/7,003.13 = 7,003.13/x
  3. Step 3: Cross multiply
    5,919.75x = 7,003.13 × 7,003.13
  4. Step 4: Simplify right side
    5,919.75x = 49,043,759.77
  5. Step 5: Solve for x
    x = 49,043,759.77/5,919.75
  6. Step 6: Final answer
    x = 8,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.