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Finding the Third Proportional to 33,678 and 47,184

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Solution

The third proportional to 33,678 and 47,184 is: 66,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 47,184 = 47,184 : x
  2. Step 2: Convert to fraction form
    33,678/47,184 = 47,184/x
  3. Step 3: Cross multiply
    33,678x = 47,184 × 47,184
  4. Step 4: Simplify right side
    33,678x = 2,226,329,856
  5. Step 5: Solve for x
    x = 2,226,329,856/33,678
  6. Step 6: Final answer
    x = 66,106.36

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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.