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Finding the Third Proportional to 4,474.27 and 10,108.76

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Solution

The third proportional to 4,474.27 and 10,108.76 is: 22,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.27 : 10,108.76 = 10,108.76 : x
  2. Step 2: Convert to fraction form
    4,474.27/10,108.76 = 10,108.76/x
  3. Step 3: Cross multiply
    4,474.27x = 10,108.76 × 10,108.76
  4. Step 4: Simplify right side
    4,474.27x = 102,186,984.51
  5. Step 5: Solve for x
    x = 102,186,984.51/4,474.27
  6. Step 6: Final answer
    x = 22,838.83

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.