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Finding the Third Proportional to 33,073 and 71,371

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Solution

The third proportional to 33,073 and 71,371 is: 154,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073 : 71,371 = 71,371 : x
  2. Step 2: Convert to fraction form
    33,073/71,371 = 71,371/x
  3. Step 3: Cross multiply
    33,073x = 71,371 × 71,371
  4. Step 4: Simplify right side
    33,073x = 5,093,819,641
  5. Step 5: Solve for x
    x = 5,093,819,641/33,073
  6. Step 6: Final answer
    x = 154,017.47

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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.