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Finding the Third Proportional to 1,747.20 and 3,858.26

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Solution

The third proportional to 1,747.20 and 3,858.26 is: 8,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.20 : 3,858.26 = 3,858.26 : x
  2. Step 2: Convert to fraction form
    1,747.20/3,858.26 = 3,858.26/x
  3. Step 3: Cross multiply
    1,747.20x = 3,858.26 × 3,858.26
  4. Step 4: Simplify right side
    1,747.20x = 14,886,153.35
  5. Step 5: Solve for x
    x = 14,886,153.35/1,747.20
  6. Step 6: Final answer
    x = 8,520.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.