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Finding the Third Proportional to 33,082 and 46,275

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Solution

The third proportional to 33,082 and 46,275 is: 64,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082 : 46,275 = 46,275 : x
  2. Step 2: Convert to fraction form
    33,082/46,275 = 46,275/x
  3. Step 3: Cross multiply
    33,082x = 46,275 × 46,275
  4. Step 4: Simplify right side
    33,082x = 2,141,375,625
  5. Step 5: Solve for x
    x = 2,141,375,625/33,082
  6. Step 6: Final answer
    x = 64,729.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.