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Finding the Third Proportional to 8,384.34 and 17,766.84

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Solution

The third proportional to 8,384.34 and 17,766.84 is: 37,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.34 : 17,766.84 = 17,766.84 : x
  2. Step 2: Convert to fraction form
    8,384.34/17,766.84 = 17,766.84/x
  3. Step 3: Cross multiply
    8,384.34x = 17,766.84 × 17,766.84
  4. Step 4: Simplify right side
    8,384.34x = 315,660,736.84
  5. Step 5: Solve for x
    x = 315,660,736.84/8,384.34
  6. Step 6: Final answer
    x = 37,648.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.