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Finding the Third Proportional to 4,969.69 and 5,516.44

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Solution

The third proportional to 4,969.69 and 5,516.44 is: 6,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.69 : 5,516.44 = 5,516.44 : x
  2. Step 2: Convert to fraction form
    4,969.69/5,516.44 = 5,516.44/x
  3. Step 3: Cross multiply
    4,969.69x = 5,516.44 × 5,516.44
  4. Step 4: Simplify right side
    4,969.69x = 30,431,082.69
  5. Step 5: Solve for x
    x = 30,431,082.69/4,969.69
  6. Step 6: Final answer
    x = 6,123.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.