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Finding the Third Proportional to 6,211.69 and 13,807.97

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Solution

The third proportional to 6,211.69 and 13,807.97 is: 30,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 13,807.97 = 13,807.97 : x
  2. Step 2: Convert to fraction form
    6,211.69/13,807.97 = 13,807.97/x
  3. Step 3: Cross multiply
    6,211.69x = 13,807.97 × 13,807.97
  4. Step 4: Simplify right side
    6,211.69x = 190,660,001.00
  5. Step 5: Solve for x
    x = 190,660,001.00/6,211.69
  6. Step 6: Final answer
    x = 30,693.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.