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Finding the Third Proportional to 2,796 and 4,249.50

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Solution

The third proportional to 2,796 and 4,249.50 is: 6,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796 : 4,249.50 = 4,249.50 : x
  2. Step 2: Convert to fraction form
    2,796/4,249.50 = 4,249.50/x
  3. Step 3: Cross multiply
    2,796x = 4,249.50 × 4,249.50
  4. Step 4: Simplify right side
    2,796x = 18,058,250.25
  5. Step 5: Solve for x
    x = 18,058,250.25/2,796
  6. Step 6: Final answer
    x = 6,458.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.