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Finding the Third Proportional to 8,062.03 and 12,214.69

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Solution

The third proportional to 8,062.03 and 12,214.69 is: 18,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.03 : 12,214.69 = 12,214.69 : x
  2. Step 2: Convert to fraction form
    8,062.03/12,214.69 = 12,214.69/x
  3. Step 3: Cross multiply
    8,062.03x = 12,214.69 × 12,214.69
  4. Step 4: Simplify right side
    8,062.03x = 149,198,590.72
  5. Step 5: Solve for x
    x = 149,198,590.72/8,062.03
  6. Step 6: Final answer
    x = 18,506.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.