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Finding the Third Proportional to 33,963 and 74,487

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Solution

The third proportional to 33,963 and 74,487 is: 163,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963 : 74,487 = 74,487 : x
  2. Step 2: Convert to fraction form
    33,963/74,487 = 74,487/x
  3. Step 3: Cross multiply
    33,963x = 74,487 × 74,487
  4. Step 4: Simplify right side
    33,963x = 5,548,313,169
  5. Step 5: Solve for x
    x = 5,548,313,169/33,963
  6. Step 6: Final answer
    x = 163,363.46

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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.