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Finding the Third Proportional to 17,867 and 26,982.50

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Solution

The third proportional to 17,867 and 26,982.50 is: 40,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867 : 26,982.50 = 26,982.50 : x
  2. Step 2: Convert to fraction form
    17,867/26,982.50 = 26,982.50/x
  3. Step 3: Cross multiply
    17,867x = 26,982.50 × 26,982.50
  4. Step 4: Simplify right side
    17,867x = 728,055,306.25
  5. Step 5: Solve for x
    x = 728,055,306.25/17,867
  6. Step 6: Final answer
    x = 40,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.