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Finding the Third Proportional to 19,013 and 41,305

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Solution

The third proportional to 19,013 and 41,305 is: 89,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013 : 41,305 = 41,305 : x
  2. Step 2: Convert to fraction form
    19,013/41,305 = 41,305/x
  3. Step 3: Cross multiply
    19,013x = 41,305 × 41,305
  4. Step 4: Simplify right side
    19,013x = 1,706,103,025
  5. Step 5: Solve for x
    x = 1,706,103,025/19,013
  6. Step 6: Final answer
    x = 89,733.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.