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Finding the Third Proportional to 19,450 and 29,167

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Solution

The third proportional to 19,450 and 29,167 is: 43,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 29,167 = 29,167 : x
  2. Step 2: Convert to fraction form
    19,450/29,167 = 29,167/x
  3. Step 3: Cross multiply
    19,450x = 29,167 × 29,167
  4. Step 4: Simplify right side
    19,450x = 850,713,889
  5. Step 5: Solve for x
    x = 850,713,889/19,450
  6. Step 6: Final answer
    x = 43,738.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.