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Finding the Third Proportional to 6,211.69 and 6,853.36

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Solution

The third proportional to 6,211.69 and 6,853.36 is: 7,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 6,853.36 = 6,853.36 : x
  2. Step 2: Convert to fraction form
    6,211.69/6,853.36 = 6,853.36/x
  3. Step 3: Cross multiply
    6,211.69x = 6,853.36 × 6,853.36
  4. Step 4: Simplify right side
    6,211.69x = 46,968,534.72
  5. Step 5: Solve for x
    x = 46,968,534.72/6,211.69
  6. Step 6: Final answer
    x = 7,561.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.