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Finding the Third Proportional to 17,850.25 and 26,761.88

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Solution

The third proportional to 17,850.25 and 26,761.88 is: 40,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.25 : 26,761.88 = 26,761.88 : x
  2. Step 2: Convert to fraction form
    17,850.25/26,761.88 = 26,761.88/x
  3. Step 3: Cross multiply
    17,850.25x = 26,761.88 × 26,761.88
  4. Step 4: Simplify right side
    17,850.25x = 716,197,953.52
  5. Step 5: Solve for x
    x = 716,197,953.52/17,850.25
  6. Step 6: Final answer
    x = 40,122.57

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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.