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Finding the Third Proportional to 4,206.94 and 4,890.38

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Solution

The third proportional to 4,206.94 and 4,890.38 is: 5,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.94 : 4,890.38 = 4,890.38 : x
  2. Step 2: Convert to fraction form
    4,206.94/4,890.38 = 4,890.38/x
  3. Step 3: Cross multiply
    4,206.94x = 4,890.38 × 4,890.38
  4. Step 4: Simplify right side
    4,206.94x = 23,915,767.64
  5. Step 5: Solve for x
    x = 23,915,767.64/4,206.94
  6. Step 6: Final answer
    x = 5,684.84

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.