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Finding the Third Proportional to 15,882.75 and 33,819.75

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Solution

The third proportional to 15,882.75 and 33,819.75 is: 72,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.75 : 33,819.75 = 33,819.75 : x
  2. Step 2: Convert to fraction form
    15,882.75/33,819.75 = 33,819.75/x
  3. Step 3: Cross multiply
    15,882.75x = 33,819.75 × 33,819.75
  4. Step 4: Simplify right side
    15,882.75x = 1,143,775,490.06
  5. Step 5: Solve for x
    x = 1,143,775,490.06/15,882.75
  6. Step 6: Final answer
    x = 72,013.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.