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Finding the Third Proportional to 6,905.25 and 14,083.88

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Solution

The third proportional to 6,905.25 and 14,083.88 is: 28,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.25 : 14,083.88 = 14,083.88 : x
  2. Step 2: Convert to fraction form
    6,905.25/14,083.88 = 14,083.88/x
  3. Step 3: Cross multiply
    6,905.25x = 14,083.88 × 14,083.88
  4. Step 4: Simplify right side
    6,905.25x = 198,355,535.02
  5. Step 5: Solve for x
    x = 198,355,535.02/6,905.25
  6. Step 6: Final answer
    x = 28,725.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.