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Finding the Third Proportional to 2,269.69 and 4,950.07

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Solution

The third proportional to 2,269.69 and 4,950.07 is: 10,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.69 : 4,950.07 = 4,950.07 : x
  2. Step 2: Convert to fraction form
    2,269.69/4,950.07 = 4,950.07/x
  3. Step 3: Cross multiply
    2,269.69x = 4,950.07 × 4,950.07
  4. Step 4: Simplify right side
    2,269.69x = 24,503,196.10
  5. Step 5: Solve for x
    x = 24,503,196.10/2,269.69
  6. Step 6: Final answer
    x = 10,795.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.