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Finding the Third Proportional to 33,831 and 45,639

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Solution

The third proportional to 33,831 and 45,639 is: 61,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831 : 45,639 = 45,639 : x
  2. Step 2: Convert to fraction form
    33,831/45,639 = 45,639/x
  3. Step 3: Cross multiply
    33,831x = 45,639 × 45,639
  4. Step 4: Simplify right side
    33,831x = 2,082,918,321
  5. Step 5: Solve for x
    x = 2,082,918,321/33,831
  6. Step 6: Final answer
    x = 61,568.33

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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.