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Finding the Third Proportional to 8,337 and 17,821

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Solution

The third proportional to 8,337 and 17,821 is: 38,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337 : 17,821 = 17,821 : x
  2. Step 2: Convert to fraction form
    8,337/17,821 = 17,821/x
  3. Step 3: Cross multiply
    8,337x = 17,821 × 17,821
  4. Step 4: Simplify right side
    8,337x = 317,588,041
  5. Step 5: Solve for x
    x = 317,588,041/8,337
  6. Step 6: Final answer
    x = 38,093.80

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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.