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Finding the Third Proportional to 23,685.75 and 51,168.38

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Solution

The third proportional to 23,685.75 and 51,168.38 is: 110,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.75 : 51,168.38 = 51,168.38 : x
  2. Step 2: Convert to fraction form
    23,685.75/51,168.38 = 51,168.38/x
  3. Step 3: Cross multiply
    23,685.75x = 51,168.38 × 51,168.38
  4. Step 4: Simplify right side
    23,685.75x = 2,618,202,600.14
  5. Step 5: Solve for x
    x = 2,618,202,600.14/23,685.75
  6. Step 6: Final answer
    x = 110,539.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.