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Finding the Third Proportional to 2,838 and 6,054

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Solution

The third proportional to 2,838 and 6,054 is: 12,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 6,054 = 6,054 : x
  2. Step 2: Convert to fraction form
    2,838/6,054 = 6,054/x
  3. Step 3: Cross multiply
    2,838x = 6,054 × 6,054
  4. Step 4: Simplify right side
    2,838x = 36,650,916
  5. Step 5: Solve for x
    x = 36,650,916/2,838
  6. Step 6: Final answer
    x = 12,914.35

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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.