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Finding the Third Proportional to 33,973 and 69,457

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Solution

The third proportional to 33,973 and 69,457 is: 142,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,973 : 69,457 = 69,457 : x
  2. Step 2: Convert to fraction form
    33,973/69,457 = 69,457/x
  3. Step 3: Cross multiply
    33,973x = 69,457 × 69,457
  4. Step 4: Simplify right side
    33,973x = 4,824,274,849
  5. Step 5: Solve for x
    x = 4,824,274,849/33,973
  6. Step 6: Final answer
    x = 142,003.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.