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Finding the Third Proportional to 6,604.50 and 14,433.94

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Solution

The third proportional to 6,604.50 and 14,433.94 is: 31,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.50 : 14,433.94 = 14,433.94 : x
  2. Step 2: Convert to fraction form
    6,604.50/14,433.94 = 14,433.94/x
  3. Step 3: Cross multiply
    6,604.50x = 14,433.94 × 14,433.94
  4. Step 4: Simplify right side
    6,604.50x = 208,338,551.75
  5. Step 5: Solve for x
    x = 208,338,551.75/6,604.50
  6. Step 6: Final answer
    x = 31,544.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.