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Finding the Third Proportional to 13,678 and 22,334

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Solution

The third proportional to 13,678 and 22,334 is: 36,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678 : 22,334 = 22,334 : x
  2. Step 2: Convert to fraction form
    13,678/22,334 = 22,334/x
  3. Step 3: Cross multiply
    13,678x = 22,334 × 22,334
  4. Step 4: Simplify right side
    13,678x = 498,807,556
  5. Step 5: Solve for x
    x = 498,807,556/13,678
  6. Step 6: Final answer
    x = 36,467.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.