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Finding the Third Proportional to 6,798 and 13,787.25

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Solution

The third proportional to 6,798 and 13,787.25 is: 27,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798 : 13,787.25 = 13,787.25 : x
  2. Step 2: Convert to fraction form
    6,798/13,787.25 = 13,787.25/x
  3. Step 3: Cross multiply
    6,798x = 13,787.25 × 13,787.25
  4. Step 4: Simplify right side
    6,798x = 190,088,262.56
  5. Step 5: Solve for x
    x = 190,088,262.56/6,798
  6. Step 6: Final answer
    x = 27,962.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.