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Finding the Third Proportional to 946.69 and 2,049.19

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Solution

The third proportional to 946.69 and 2,049.19 is: 4,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.69 : 2,049.19 = 2,049.19 : x
  2. Step 2: Convert to fraction form
    946.69/2,049.19 = 2,049.19/x
  3. Step 3: Cross multiply
    946.69x = 2,049.19 × 2,049.19
  4. Step 4: Simplify right side
    946.69x = 4,199,169.41
  5. Step 5: Solve for x
    x = 4,199,169.41/946.69
  6. Step 6: Final answer
    x = 4,435.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.