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Finding the Third Proportional to 23,816.25 and 52,302.75

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Solution

The third proportional to 23,816.25 and 52,302.75 is: 114,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.25 : 52,302.75 = 52,302.75 : x
  2. Step 2: Convert to fraction form
    23,816.25/52,302.75 = 52,302.75/x
  3. Step 3: Cross multiply
    23,816.25x = 52,302.75 × 52,302.75
  4. Step 4: Simplify right side
    23,816.25x = 2,735,577,657.56
  5. Step 5: Solve for x
    x = 2,735,577,657.56/23,816.25
  6. Step 6: Final answer
    x = 114,861.81

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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.