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Finding the Third Proportional to 8,034.19 and 12,043.69

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Solution

The third proportional to 8,034.19 and 12,043.69 is: 18,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.19 : 12,043.69 = 12,043.69 : x
  2. Step 2: Convert to fraction form
    8,034.19/12,043.69 = 12,043.69/x
  3. Step 3: Cross multiply
    8,034.19x = 12,043.69 × 12,043.69
  4. Step 4: Simplify right side
    8,034.19x = 145,050,408.60
  5. Step 5: Solve for x
    x = 145,050,408.60/8,034.19
  6. Step 6: Final answer
    x = 18,054.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.