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Finding the Third Proportional to 6,852.94 and 14,244.54

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Solution

The third proportional to 6,852.94 and 14,244.54 is: 29,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.94 : 14,244.54 = 14,244.54 : x
  2. Step 2: Convert to fraction form
    6,852.94/14,244.54 = 14,244.54/x
  3. Step 3: Cross multiply
    6,852.94x = 14,244.54 × 14,244.54
  4. Step 4: Simplify right side
    6,852.94x = 202,906,893.10
  5. Step 5: Solve for x
    x = 202,906,893.10/6,852.94
  6. Step 6: Final answer
    x = 29,608.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.