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Finding the Third Proportional to 6,211.69 and 12,111.19

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Solution

The third proportional to 6,211.69 and 12,111.19 is: 23,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 12,111.19 = 12,111.19 : x
  2. Step 2: Convert to fraction form
    6,211.69/12,111.19 = 12,111.19/x
  3. Step 3: Cross multiply
    6,211.69x = 12,111.19 × 12,111.19
  4. Step 4: Simplify right side
    6,211.69x = 146,680,862.66
  5. Step 5: Solve for x
    x = 146,680,862.66/6,211.69
  6. Step 6: Final answer
    x = 23,613.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.