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Finding the Third Proportional to 19,741.50 and 43,857

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Solution

The third proportional to 19,741.50 and 43,857 is: 97,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741.50 : 43,857 = 43,857 : x
  2. Step 2: Convert to fraction form
    19,741.50/43,857 = 43,857/x
  3. Step 3: Cross multiply
    19,741.50x = 43,857 × 43,857
  4. Step 4: Simplify right side
    19,741.50x = 1,923,436,449
  5. Step 5: Solve for x
    x = 1,923,436,449/19,741.50
  6. Step 6: Final answer
    x = 97,431.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.