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Finding the Third Proportional to 33,738 and 54,207

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Solution

The third proportional to 33,738 and 54,207 is: 87,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,738 : 54,207 = 54,207 : x
  2. Step 2: Convert to fraction form
    33,738/54,207 = 54,207/x
  3. Step 3: Cross multiply
    33,738x = 54,207 × 54,207
  4. Step 4: Simplify right side
    33,738x = 2,938,398,849
  5. Step 5: Solve for x
    x = 2,938,398,849/33,738
  6. Step 6: Final answer
    x = 87,094.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.