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Finding the Third Proportional to 10,728 and 23,635.50

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Solution

The third proportional to 10,728 and 23,635.50 is: 52,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 23,635.50 = 23,635.50 : x
  2. Step 2: Convert to fraction form
    10,728/23,635.50 = 23,635.50/x
  3. Step 3: Cross multiply
    10,728x = 23,635.50 × 23,635.50
  4. Step 4: Simplify right side
    10,728x = 558,636,860.25
  5. Step 5: Solve for x
    x = 558,636,860.25/10,728
  6. Step 6: Final answer
    x = 52,072.79

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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.