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Finding the Third Proportional to 2,208.94 and 4,698.84

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Solution

The third proportional to 2,208.94 and 4,698.84 is: 9,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.94 : 4,698.84 = 4,698.84 : x
  2. Step 2: Convert to fraction form
    2,208.94/4,698.84 = 4,698.84/x
  3. Step 3: Cross multiply
    2,208.94x = 4,698.84 × 4,698.84
  4. Step 4: Simplify right side
    2,208.94x = 22,079,132.59
  5. Step 5: Solve for x
    x = 22,079,132.59/2,208.94
  6. Step 6: Final answer
    x = 9,995.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.