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Finding the Third Proportional to 39,231.50 and 50,372

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Solution

The third proportional to 39,231.50 and 50,372 is: 64,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,231.50 : 50,372 = 50,372 : x
  2. Step 2: Convert to fraction form
    39,231.50/50,372 = 50,372/x
  3. Step 3: Cross multiply
    39,231.50x = 50,372 × 50,372
  4. Step 4: Simplify right side
    39,231.50x = 2,537,338,384
  5. Step 5: Solve for x
    x = 2,537,338,384/39,231.50
  6. Step 6: Final answer
    x = 64,676.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.