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Finding the Third Proportional to 4,170 and 5,796

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Solution

The third proportional to 4,170 and 5,796 is: 8,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170 : 5,796 = 5,796 : x
  2. Step 2: Convert to fraction form
    4,170/5,796 = 5,796/x
  3. Step 3: Cross multiply
    4,170x = 5,796 × 5,796
  4. Step 4: Simplify right side
    4,170x = 33,593,616
  5. Step 5: Solve for x
    x = 33,593,616/4,170
  6. Step 6: Final answer
    x = 8,056.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.