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Finding the Third Proportional to 19,091 and 40,936

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Solution

The third proportional to 19,091 and 40,936 is: 87,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,091 : 40,936 = 40,936 : x
  2. Step 2: Convert to fraction form
    19,091/40,936 = 40,936/x
  3. Step 3: Cross multiply
    19,091x = 40,936 × 40,936
  4. Step 4: Simplify right side
    19,091x = 1,675,756,096
  5. Step 5: Solve for x
    x = 1,675,756,096/19,091
  6. Step 6: Final answer
    x = 87,777.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.