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Finding the Third Proportional to 33,966 and 45,873

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Solution

The third proportional to 33,966 and 45,873 is: 61,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 45,873 = 45,873 : x
  2. Step 2: Convert to fraction form
    33,966/45,873 = 45,873/x
  3. Step 3: Cross multiply
    33,966x = 45,873 × 45,873
  4. Step 4: Simplify right side
    33,966x = 2,104,332,129
  5. Step 5: Solve for x
    x = 2,104,332,129/33,966
  6. Step 6: Final answer
    x = 61,954.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.