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Finding the Third Proportional to 8,021.85 and 16,282.90

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Solution

The third proportional to 8,021.85 and 16,282.90 is: 33,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.85 : 16,282.90 = 16,282.90 : x
  2. Step 2: Convert to fraction form
    8,021.85/16,282.90 = 16,282.90/x
  3. Step 3: Cross multiply
    8,021.85x = 16,282.90 × 16,282.90
  4. Step 4: Simplify right side
    8,021.85x = 265,132,781.53
  5. Step 5: Solve for x
    x = 265,132,781.53/8,021.85
  6. Step 6: Final answer
    x = 33,051.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.