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Finding the Third Proportional to 23,685.75 and 52,139.25

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Solution

The third proportional to 23,685.75 and 52,139.25 is: 114,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.75 : 52,139.25 = 52,139.25 : x
  2. Step 2: Convert to fraction form
    23,685.75/52,139.25 = 52,139.25/x
  3. Step 3: Cross multiply
    23,685.75x = 52,139.25 × 52,139.25
  4. Step 4: Simplify right side
    23,685.75x = 2,718,501,390.56
  5. Step 5: Solve for x
    x = 2,718,501,390.56/23,685.75
  6. Step 6: Final answer
    x = 114,773.71

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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.