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Finding the Third Proportional to 4,015.20 and 8,337.94

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Solution

The third proportional to 4,015.20 and 8,337.94 is: 17,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.20 : 8,337.94 = 8,337.94 : x
  2. Step 2: Convert to fraction form
    4,015.20/8,337.94 = 8,337.94/x
  3. Step 3: Cross multiply
    4,015.20x = 8,337.94 × 8,337.94
  4. Step 4: Simplify right side
    4,015.20x = 69,521,201.75
  5. Step 5: Solve for x
    x = 69,521,201.75/4,015.20
  6. Step 6: Final answer
    x = 17,314.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.