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Finding the Third Proportional to 4,883.91 and 10,474.31

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Solution

The third proportional to 4,883.91 and 10,474.31 is: 22,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.91 : 10,474.31 = 10,474.31 : x
  2. Step 2: Convert to fraction form
    4,883.91/10,474.31 = 10,474.31/x
  3. Step 3: Cross multiply
    4,883.91x = 10,474.31 × 10,474.31
  4. Step 4: Simplify right side
    4,883.91x = 109,711,222.35
  5. Step 5: Solve for x
    x = 109,711,222.35/4,883.91
  6. Step 6: Final answer
    x = 22,463.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.