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Finding the Third Proportional to 6,211.69 and 14,545.83

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Solution

The third proportional to 6,211.69 and 14,545.83 is: 34,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 14,545.83 = 14,545.83 : x
  2. Step 2: Convert to fraction form
    6,211.69/14,545.83 = 14,545.83/x
  3. Step 3: Cross multiply
    6,211.69x = 14,545.83 × 14,545.83
  4. Step 4: Simplify right side
    6,211.69x = 211,581,115.84
  5. Step 5: Solve for x
    x = 211,581,115.84/6,211.69
  6. Step 6: Final answer
    x = 34,061.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.