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Finding the Third Proportional to 1,208.81 and 2,838.94

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Solution

The third proportional to 1,208.81 and 2,838.94 is: 6,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.81 : 2,838.94 = 2,838.94 : x
  2. Step 2: Convert to fraction form
    1,208.81/2,838.94 = 2,838.94/x
  3. Step 3: Cross multiply
    1,208.81x = 2,838.94 × 2,838.94
  4. Step 4: Simplify right side
    1,208.81x = 8,059,566.13
  5. Step 5: Solve for x
    x = 8,059,566.13/1,208.81
  6. Step 6: Final answer
    x = 6,667.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.