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Finding the Third Proportional to 17,418.50 and 26,167

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Solution

The third proportional to 17,418.50 and 26,167 is: 39,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.50 : 26,167 = 26,167 : x
  2. Step 2: Convert to fraction form
    17,418.50/26,167 = 26,167/x
  3. Step 3: Cross multiply
    17,418.50x = 26,167 × 26,167
  4. Step 4: Simplify right side
    17,418.50x = 684,711,889
  5. Step 5: Solve for x
    x = 684,711,889/17,418.50
  6. Step 6: Final answer
    x = 39,309.46

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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.