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Finding the Third Proportional to 36,125 and 47,933

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Solution

The third proportional to 36,125 and 47,933 is: 63,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,125 : 47,933 = 47,933 : x
  2. Step 2: Convert to fraction form
    36,125/47,933 = 47,933/x
  3. Step 3: Cross multiply
    36,125x = 47,933 × 47,933
  4. Step 4: Simplify right side
    36,125x = 2,297,572,489
  5. Step 5: Solve for x
    x = 2,297,572,489/36,125
  6. Step 6: Final answer
    x = 63,600.62

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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.