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Finding the Third Proportional to 23,800.50 and 52,272.56

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Solution

The third proportional to 23,800.50 and 52,272.56 is: 114,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.50 : 52,272.56 = 52,272.56 : x
  2. Step 2: Convert to fraction form
    23,800.50/52,272.56 = 52,272.56/x
  3. Step 3: Cross multiply
    23,800.50x = 52,272.56 × 52,272.56
  4. Step 4: Simplify right side
    23,800.50x = 2,732,420,790.32
  5. Step 5: Solve for x
    x = 2,732,420,790.32/23,800.50
  6. Step 6: Final answer
    x = 114,805.18

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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.