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Finding the Third Proportional to 6,104.75 and 12,533.63

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Solution

The third proportional to 6,104.75 and 12,533.63 is: 25,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.75 : 12,533.63 = 12,533.63 : x
  2. Step 2: Convert to fraction form
    6,104.75/12,533.63 = 12,533.63/x
  3. Step 3: Cross multiply
    6,104.75x = 12,533.63 × 12,533.63
  4. Step 4: Simplify right side
    6,104.75x = 157,091,755.64
  5. Step 5: Solve for x
    x = 157,091,755.64/6,104.75
  6. Step 6: Final answer
    x = 25,732.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.