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Finding the Third Proportional to 15,802 and 33,794

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Solution

The third proportional to 15,802 and 33,794 is: 72,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802 : 33,794 = 33,794 : x
  2. Step 2: Convert to fraction form
    15,802/33,794 = 33,794/x
  3. Step 3: Cross multiply
    15,802x = 33,794 × 33,794
  4. Step 4: Simplify right side
    15,802x = 1,142,034,436
  5. Step 5: Solve for x
    x = 1,142,034,436/15,802
  6. Step 6: Final answer
    x = 72,271.51

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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.