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Finding the Third Proportional to 19,149.75 and 41,216.63

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Solution

The third proportional to 19,149.75 and 41,216.63 is: 88,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149.75 : 41,216.63 = 41,216.63 : x
  2. Step 2: Convert to fraction form
    19,149.75/41,216.63 = 41,216.63/x
  3. Step 3: Cross multiply
    19,149.75x = 41,216.63 × 41,216.63
  4. Step 4: Simplify right side
    19,149.75x = 1,698,810,176.39
  5. Step 5: Solve for x
    x = 1,698,810,176.39/19,149.75
  6. Step 6: Final answer
    x = 88,711.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.