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Finding the Third Proportional to 23,964.75 and 52,112.25

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Solution

The third proportional to 23,964.75 and 52,112.25 is: 113,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.75 : 52,112.25 = 52,112.25 : x
  2. Step 2: Convert to fraction form
    23,964.75/52,112.25 = 52,112.25/x
  3. Step 3: Cross multiply
    23,964.75x = 52,112.25 × 52,112.25
  4. Step 4: Simplify right side
    23,964.75x = 2,715,686,600.06
  5. Step 5: Solve for x
    x = 2,715,686,600.06/23,964.75
  6. Step 6: Final answer
    x = 113,320.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.