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Finding the Third Proportional to 33,660 and 47,196

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Solution

The third proportional to 33,660 and 47,196 is: 66,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 47,196 = 47,196 : x
  2. Step 2: Convert to fraction form
    33,660/47,196 = 47,196/x
  3. Step 3: Cross multiply
    33,660x = 47,196 × 47,196
  4. Step 4: Simplify right side
    33,660x = 2,227,462,416
  5. Step 5: Solve for x
    x = 2,227,462,416/33,660
  6. Step 6: Final answer
    x = 66,175.35

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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.