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Finding the Third Proportional to 12,284 and 17,368

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Solution

The third proportional to 12,284 and 17,368 is: 24,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 17,368 = 17,368 : x
  2. Step 2: Convert to fraction form
    12,284/17,368 = 17,368/x
  3. Step 3: Cross multiply
    12,284x = 17,368 × 17,368
  4. Step 4: Simplify right side
    12,284x = 301,647,424
  5. Step 5: Solve for x
    x = 301,647,424/12,284
  6. Step 6: Final answer
    x = 24,556.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.