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Finding the Third Proportional to 2,890.69 and 6,852.09

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Solution

The third proportional to 2,890.69 and 6,852.09 is: 16,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 6,852.09 = 6,852.09 : x
  2. Step 2: Convert to fraction form
    2,890.69/6,852.09 = 6,852.09/x
  3. Step 3: Cross multiply
    2,890.69x = 6,852.09 × 6,852.09
  4. Step 4: Simplify right side
    2,890.69x = 46,951,188.76
  5. Step 5: Solve for x
    x = 46,951,188.76/2,890.69
  6. Step 6: Final answer
    x = 16,242.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.