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Finding the Third Proportional to 6,211.69 and 8,548.03

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Solution

The third proportional to 6,211.69 and 8,548.03 is: 11,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 8,548.03 = 8,548.03 : x
  2. Step 2: Convert to fraction form
    6,211.69/8,548.03 = 8,548.03/x
  3. Step 3: Cross multiply
    6,211.69x = 8,548.03 × 8,548.03
  4. Step 4: Simplify right side
    6,211.69x = 73,068,838.25
  5. Step 5: Solve for x
    x = 73,068,838.25/6,211.69
  6. Step 6: Final answer
    x = 11,763.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.