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Finding the Third Proportional to 33,050 and 71,392

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Solution

The third proportional to 33,050 and 71,392 is: 154,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050 : 71,392 = 71,392 : x
  2. Step 2: Convert to fraction form
    33,050/71,392 = 71,392/x
  3. Step 3: Cross multiply
    33,050x = 71,392 × 71,392
  4. Step 4: Simplify right side
    33,050x = 5,096,817,664
  5. Step 5: Solve for x
    x = 5,096,817,664/33,050
  6. Step 6: Final answer
    x = 154,215.36

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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.