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Finding the Third Proportional to 15,838 and 35,192

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Solution

The third proportional to 15,838 and 35,192 is: 78,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838 : 35,192 = 35,192 : x
  2. Step 2: Convert to fraction form
    15,838/35,192 = 35,192/x
  3. Step 3: Cross multiply
    15,838x = 35,192 × 35,192
  4. Step 4: Simplify right side
    15,838x = 1,238,476,864
  5. Step 5: Solve for x
    x = 1,238,476,864/15,838
  6. Step 6: Final answer
    x = 78,196.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.