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Finding the Third Proportional to 8,396 and 18,388

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Solution

The third proportional to 8,396 and 18,388 is: 40,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 18,388 = 18,388 : x
  2. Step 2: Convert to fraction form
    8,396/18,388 = 18,388/x
  3. Step 3: Cross multiply
    8,396x = 18,388 × 18,388
  4. Step 4: Simplify right side
    8,396x = 338,118,544
  5. Step 5: Solve for x
    x = 338,118,544/8,396
  6. Step 6: Final answer
    x = 40,271.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.