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Finding the Third Proportional to 33,097 and 70,933

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Solution

The third proportional to 33,097 and 70,933 is: 152,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097 : 70,933 = 70,933 : x
  2. Step 2: Convert to fraction form
    33,097/70,933 = 70,933/x
  3. Step 3: Cross multiply
    33,097x = 70,933 × 70,933
  4. Step 4: Simplify right side
    33,097x = 5,031,490,489
  5. Step 5: Solve for x
    x = 5,031,490,489/33,097
  6. Step 6: Final answer
    x = 152,022.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.