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Finding the Third Proportional to 33,274 and 72,712

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Solution

The third proportional to 33,274 and 72,712 is: 158,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274 : 72,712 = 72,712 : x
  2. Step 2: Convert to fraction form
    33,274/72,712 = 72,712/x
  3. Step 3: Cross multiply
    33,274x = 72,712 × 72,712
  4. Step 4: Simplify right side
    33,274x = 5,287,034,944
  5. Step 5: Solve for x
    x = 5,287,034,944/33,274
  6. Step 6: Final answer
    x = 158,893.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.