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Finding the Third Proportional to 33,353 and 73,707

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Solution

The third proportional to 33,353 and 73,707 is: 162,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,353 : 73,707 = 73,707 : x
  2. Step 2: Convert to fraction form
    33,353/73,707 = 73,707/x
  3. Step 3: Cross multiply
    33,353x = 73,707 × 73,707
  4. Step 4: Simplify right side
    33,353x = 5,432,721,849
  5. Step 5: Solve for x
    x = 5,432,721,849/33,353
  6. Step 6: Final answer
    x = 162,885.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.