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Finding the Third Proportional to 23,523.75 and 35,282.25

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Solution

The third proportional to 23,523.75 and 35,282.25 is: 52,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.75 : 35,282.25 = 35,282.25 : x
  2. Step 2: Convert to fraction form
    23,523.75/35,282.25 = 35,282.25/x
  3. Step 3: Cross multiply
    23,523.75x = 35,282.25 × 35,282.25
  4. Step 4: Simplify right side
    23,523.75x = 1,244,837,165.06
  5. Step 5: Solve for x
    x = 1,244,837,165.06/23,523.75
  6. Step 6: Final answer
    x = 52,918.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.