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Finding the Third Proportional to 6,730.17 and 13,796.16

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Solution

The third proportional to 6,730.17 and 13,796.16 is: 28,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.17 : 13,796.16 = 13,796.16 : x
  2. Step 2: Convert to fraction form
    6,730.17/13,796.16 = 13,796.16/x
  3. Step 3: Cross multiply
    6,730.17x = 13,796.16 × 13,796.16
  4. Step 4: Simplify right side
    6,730.17x = 190,333,927.27
  5. Step 5: Solve for x
    x = 190,333,927.27/6,730.17
  6. Step 6: Final answer
    x = 28,280.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.