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Finding the Third Proportional to 4,728.94 and 10,179.56

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Solution

The third proportional to 4,728.94 and 10,179.56 is: 21,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.94 : 10,179.56 = 10,179.56 : x
  2. Step 2: Convert to fraction form
    4,728.94/10,179.56 = 10,179.56/x
  3. Step 3: Cross multiply
    4,728.94x = 10,179.56 × 10,179.56
  4. Step 4: Simplify right side
    4,728.94x = 103,623,492.69
  5. Step 5: Solve for x
    x = 103,623,492.69/4,728.94
  6. Step 6: Final answer
    x = 21,912.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.