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Finding the Third Proportional to 6,173.25 and 9,383.63

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Solution

The third proportional to 6,173.25 and 9,383.63 is: 14,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.25 : 9,383.63 = 9,383.63 : x
  2. Step 2: Convert to fraction form
    6,173.25/9,383.63 = 9,383.63/x
  3. Step 3: Cross multiply
    6,173.25x = 9,383.63 × 9,383.63
  4. Step 4: Simplify right side
    6,173.25x = 88,052,418.14
  5. Step 5: Solve for x
    x = 88,052,418.14/6,173.25
  6. Step 6: Final answer
    x = 14,263.54

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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.