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Finding the Third Proportional to 24,744 and 37,933

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Solution

The third proportional to 24,744 and 37,933 is: 58,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744 : 37,933 = 37,933 : x
  2. Step 2: Convert to fraction form
    24,744/37,933 = 37,933/x
  3. Step 3: Cross multiply
    24,744x = 37,933 × 37,933
  4. Step 4: Simplify right side
    24,744x = 1,438,912,489
  5. Step 5: Solve for x
    x = 1,438,912,489/24,744
  6. Step 6: Final answer
    x = 58,151.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.