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Finding the Third Proportional to 8,021.11 and 12,344.91

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Solution

The third proportional to 8,021.11 and 12,344.91 is: 18,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.11 : 12,344.91 = 12,344.91 : x
  2. Step 2: Convert to fraction form
    8,021.11/12,344.91 = 12,344.91/x
  3. Step 3: Cross multiply
    8,021.11x = 12,344.91 × 12,344.91
  4. Step 4: Simplify right side
    8,021.11x = 152,396,710.32
  5. Step 5: Solve for x
    x = 152,396,710.32/8,021.11
  6. Step 6: Final answer
    x = 18,999.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.