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Finding the Third Proportional to 6,211.69 and 14,644.55

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Solution

The third proportional to 6,211.69 and 14,644.55 is: 34,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.69 : 14,644.55 = 14,644.55 : x
  2. Step 2: Convert to fraction form
    6,211.69/14,644.55 = 14,644.55/x
  3. Step 3: Cross multiply
    6,211.69x = 14,644.55 × 14,644.55
  4. Step 4: Simplify right side
    6,211.69x = 214,462,753.17
  5. Step 5: Solve for x
    x = 214,462,753.17/6,211.69
  6. Step 6: Final answer
    x = 34,525.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.