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Finding the Third Proportional to 19,277 and 40,093

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Solution

The third proportional to 19,277 and 40,093 is: 83,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277 : 40,093 = 40,093 : x
  2. Step 2: Convert to fraction form
    19,277/40,093 = 40,093/x
  3. Step 3: Cross multiply
    19,277x = 40,093 × 40,093
  4. Step 4: Simplify right side
    19,277x = 1,607,448,649
  5. Step 5: Solve for x
    x = 1,607,448,649/19,277
  6. Step 6: Final answer
    x = 83,386.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.