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Finding the Third Proportional to 23,832.56 and 31,625.44

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Solution

The third proportional to 23,832.56 and 31,625.44 is: 41,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.56 : 31,625.44 = 31,625.44 : x
  2. Step 2: Convert to fraction form
    23,832.56/31,625.44 = 31,625.44/x
  3. Step 3: Cross multiply
    23,832.56x = 31,625.44 × 31,625.44
  4. Step 4: Simplify right side
    23,832.56x = 1,000,168,297.07
  5. Step 5: Solve for x
    x = 1,000,168,297.07/23,832.56
  6. Step 6: Final answer
    x = 41,966.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.