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Finding the Third Proportional to 32,767 and 70,393

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Solution

The third proportional to 32,767 and 70,393 is: 151,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767 : 70,393 = 70,393 : x
  2. Step 2: Convert to fraction form
    32,767/70,393 = 70,393/x
  3. Step 3: Cross multiply
    32,767x = 70,393 × 70,393
  4. Step 4: Simplify right side
    32,767x = 4,955,174,449
  5. Step 5: Solve for x
    x = 4,955,174,449/32,767
  6. Step 6: Final answer
    x = 151,224.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.