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Finding the Third Proportional to 6,049.69 and 13,368.38

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Solution

The third proportional to 6,049.69 and 13,368.38 is: 29,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.69 : 13,368.38 = 13,368.38 : x
  2. Step 2: Convert to fraction form
    6,049.69/13,368.38 = 13,368.38/x
  3. Step 3: Cross multiply
    6,049.69x = 13,368.38 × 13,368.38
  4. Step 4: Simplify right side
    6,049.69x = 178,713,450.14
  5. Step 5: Solve for x
    x = 178,713,450.14/6,049.69
  6. Step 6: Final answer
    x = 29,540.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.