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Finding the Third Proportional to 2,883.09 and 6,208.59

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Solution

The third proportional to 2,883.09 and 6,208.59 is: 13,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.09 : 6,208.59 = 6,208.59 : x
  2. Step 2: Convert to fraction form
    2,883.09/6,208.59 = 6,208.59/x
  3. Step 3: Cross multiply
    2,883.09x = 6,208.59 × 6,208.59
  4. Step 4: Simplify right side
    2,883.09x = 38,546,636.35
  5. Step 5: Solve for x
    x = 38,546,636.35/2,883.09
  6. Step 6: Final answer
    x = 13,369.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.