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Finding the Third Proportional to 23,585.75 and 35,375

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Solution

The third proportional to 23,585.75 and 35,375 is: 53,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.75 : 35,375 = 35,375 : x
  2. Step 2: Convert to fraction form
    23,585.75/35,375 = 35,375/x
  3. Step 3: Cross multiply
    23,585.75x = 35,375 × 35,375
  4. Step 4: Simplify right side
    23,585.75x = 1,251,390,625
  5. Step 5: Solve for x
    x = 1,251,390,625/23,585.75
  6. Step 6: Final answer
    x = 53,057.06

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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.