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Finding the Third Proportional to 19,243 and 41,223

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Solution

The third proportional to 19,243 and 41,223 is: 88,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,243 : 41,223 = 41,223 : x
  2. Step 2: Convert to fraction form
    19,243/41,223 = 41,223/x
  3. Step 3: Cross multiply
    19,243x = 41,223 × 41,223
  4. Step 4: Simplify right side
    19,243x = 1,699,335,729
  5. Step 5: Solve for x
    x = 1,699,335,729/19,243
  6. Step 6: Final answer
    x = 88,309.29

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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.