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Finding the Third Proportional to 7,344.63 and 11,033.19

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Solution

The third proportional to 7,344.63 and 11,033.19 is: 16,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.63 : 11,033.19 = 11,033.19 : x
  2. Step 2: Convert to fraction form
    7,344.63/11,033.19 = 11,033.19/x
  3. Step 3: Cross multiply
    7,344.63x = 11,033.19 × 11,033.19
  4. Step 4: Simplify right side
    7,344.63x = 121,731,226.41
  5. Step 5: Solve for x
    x = 121,731,226.41/7,344.63
  6. Step 6: Final answer
    x = 16,574.19

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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.