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Finding the Third Proportional to 2,840.06 and 6,825.94

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Solution

The third proportional to 2,840.06 and 6,825.94 is: 16,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.06 : 6,825.94 = 6,825.94 : x
  2. Step 2: Convert to fraction form
    2,840.06/6,825.94 = 6,825.94/x
  3. Step 3: Cross multiply
    2,840.06x = 6,825.94 × 6,825.94
  4. Step 4: Simplify right side
    2,840.06x = 46,593,422.75
  5. Step 5: Solve for x
    x = 46,593,422.75/2,840.06
  6. Step 6: Final answer
    x = 16,405.77

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.