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Finding the Third Proportional to 19,042 and 41,000

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Solution

The third proportional to 19,042 and 41,000 is: 88,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 41,000 = 41,000 : x
  2. Step 2: Convert to fraction form
    19,042/41,000 = 41,000/x
  3. Step 3: Cross multiply
    19,042x = 41,000 × 41,000
  4. Step 4: Simplify right side
    19,042x = 1,681,000,000
  5. Step 5: Solve for x
    x = 1,681,000,000/19,042
  6. Step 6: Final answer
    x = 88,278.54

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