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Finding the Third Proportional to 33,963 and 74,650

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Solution

The third proportional to 33,963 and 74,650 is: 164,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963 : 74,650 = 74,650 : x
  2. Step 2: Convert to fraction form
    33,963/74,650 = 74,650/x
  3. Step 3: Cross multiply
    33,963x = 74,650 × 74,650
  4. Step 4: Simplify right side
    33,963x = 5,572,622,500
  5. Step 5: Solve for x
    x = 5,572,622,500/33,963
  6. Step 6: Final answer
    x = 164,079.22

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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.