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Finding the Third Proportional to 19,286 and 27,795

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Solution

The third proportional to 19,286 and 27,795 is: 40,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 27,795 = 27,795 : x
  2. Step 2: Convert to fraction form
    19,286/27,795 = 27,795/x
  3. Step 3: Cross multiply
    19,286x = 27,795 × 27,795
  4. Step 4: Simplify right side
    19,286x = 772,562,025
  5. Step 5: Solve for x
    x = 772,562,025/19,286
  6. Step 6: Final answer
    x = 40,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.