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Finding the Third Proportional to 23,884.50 and 35,832.75

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Solution

The third proportional to 23,884.50 and 35,832.75 is: 53,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.50 : 35,832.75 = 35,832.75 : x
  2. Step 2: Convert to fraction form
    23,884.50/35,832.75 = 35,832.75/x
  3. Step 3: Cross multiply
    23,884.50x = 35,832.75 × 35,832.75
  4. Step 4: Simplify right side
    23,884.50x = 1,283,985,972.56
  5. Step 5: Solve for x
    x = 1,283,985,972.56/23,884.50
  6. Step 6: Final answer
    x = 53,758.13

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Why These Related Problems?

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