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Finding the Third Proportional to 33,707 and 74,039

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Solution

The third proportional to 33,707 and 74,039 is: 162,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707 : 74,039 = 74,039 : x
  2. Step 2: Convert to fraction form
    33,707/74,039 = 74,039/x
  3. Step 3: Cross multiply
    33,707x = 74,039 × 74,039
  4. Step 4: Simplify right side
    33,707x = 5,481,773,521
  5. Step 5: Solve for x
    x = 5,481,773,521/33,707
  6. Step 6: Final answer
    x = 162,630.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.