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Finding the Third Proportional to 6,616.69 and 14,193.56

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Solution

The third proportional to 6,616.69 and 14,193.56 is: 30,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.69 : 14,193.56 = 14,193.56 : x
  2. Step 2: Convert to fraction form
    6,616.69/14,193.56 = 14,193.56/x
  3. Step 3: Cross multiply
    6,616.69x = 14,193.56 × 14,193.56
  4. Step 4: Simplify right side
    6,616.69x = 201,457,216.44
  5. Step 5: Solve for x
    x = 201,457,216.44/6,616.69
  6. Step 6: Final answer
    x = 30,446.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.