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Finding the Third Proportional to 6,368.63 and 11,832.75

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Solution

The third proportional to 6,368.63 and 11,832.75 is: 21,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 11,832.75 = 11,832.75 : x
  2. Step 2: Convert to fraction form
    6,368.63/11,832.75 = 11,832.75/x
  3. Step 3: Cross multiply
    6,368.63x = 11,832.75 × 11,832.75
  4. Step 4: Simplify right side
    6,368.63x = 140,013,972.56
  5. Step 5: Solve for x
    x = 140,013,972.56/6,368.63
  6. Step 6: Final answer
    x = 21,984.96

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.