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Finding the Third Proportional to 3,447.56 and 4,874.34

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Solution

The third proportional to 3,447.56 and 4,874.34 is: 6,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.56 : 4,874.34 = 4,874.34 : x
  2. Step 2: Convert to fraction form
    3,447.56/4,874.34 = 4,874.34/x
  3. Step 3: Cross multiply
    3,447.56x = 4,874.34 × 4,874.34
  4. Step 4: Simplify right side
    3,447.56x = 23,759,226.99
  5. Step 5: Solve for x
    x = 23,759,226.99/3,447.56
  6. Step 6: Final answer
    x = 6,891.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.