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Finding the Third Proportional to 33,323 and 71,973

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Solution

The third proportional to 33,323 and 71,973 is: 155,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,323 : 71,973 = 71,973 : x
  2. Step 2: Convert to fraction form
    33,323/71,973 = 71,973/x
  3. Step 3: Cross multiply
    33,323x = 71,973 × 71,973
  4. Step 4: Simplify right side
    33,323x = 5,180,112,729
  5. Step 5: Solve for x
    x = 5,180,112,729/33,323
  6. Step 6: Final answer
    x = 155,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.