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Finding the Third Proportional to 4,732.17 and 10,411.03

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Solution

The third proportional to 4,732.17 and 10,411.03 is: 22,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.17 : 10,411.03 = 10,411.03 : x
  2. Step 2: Convert to fraction form
    4,732.17/10,411.03 = 10,411.03/x
  3. Step 3: Cross multiply
    4,732.17x = 10,411.03 × 10,411.03
  4. Step 4: Simplify right side
    4,732.17x = 108,389,571.69
  5. Step 5: Solve for x
    x = 108,389,571.69/4,732.17
  6. Step 6: Final answer
    x = 22,904.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.