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Finding the Third Proportional to 3,874.24 and 5,811.35

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Solution

The third proportional to 3,874.24 and 5,811.35 is: 8,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.24 : 5,811.35 = 5,811.35 : x
  2. Step 2: Convert to fraction form
    3,874.24/5,811.35 = 5,811.35/x
  3. Step 3: Cross multiply
    3,874.24x = 5,811.35 × 5,811.35
  4. Step 4: Simplify right side
    3,874.24x = 33,771,841.03
  5. Step 5: Solve for x
    x = 33,771,841.03/3,874.24
  6. Step 6: Final answer
    x = 8,717.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.