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Finding the Third Proportional to 6,029.25 and 13,091.25

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Solution

The third proportional to 6,029.25 and 13,091.25 is: 28,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.25 : 13,091.25 = 13,091.25 : x
  2. Step 2: Convert to fraction form
    6,029.25/13,091.25 = 13,091.25/x
  3. Step 3: Cross multiply
    6,029.25x = 13,091.25 × 13,091.25
  4. Step 4: Simplify right side
    6,029.25x = 171,380,826.56
  5. Step 5: Solve for x
    x = 171,380,826.56/6,029.25
  6. Step 6: Final answer
    x = 28,424.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.