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Finding the Third Proportional to 16,270 and 33,308

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Solution

The third proportional to 16,270 and 33,308 is: 68,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270 : 33,308 = 33,308 : x
  2. Step 2: Convert to fraction form
    16,270/33,308 = 33,308/x
  3. Step 3: Cross multiply
    16,270x = 33,308 × 33,308
  4. Step 4: Simplify right side
    16,270x = 1,109,422,864
  5. Step 5: Solve for x
    x = 1,109,422,864/16,270
  6. Step 6: Final answer
    x = 68,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.