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Finding the Third Proportional to 6,328.69 and 14,650.31

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Solution

The third proportional to 6,328.69 and 14,650.31 is: 33,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.69 : 14,650.31 = 14,650.31 : x
  2. Step 2: Convert to fraction form
    6,328.69/14,650.31 = 14,650.31/x
  3. Step 3: Cross multiply
    6,328.69x = 14,650.31 × 14,650.31
  4. Step 4: Simplify right side
    6,328.69x = 214,631,656.35
  5. Step 5: Solve for x
    x = 214,631,656.35/6,328.69
  6. Step 6: Final answer
    x = 33,914.09

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.