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Finding the Third Proportional to 6,608.19 and 14,530.69

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Solution

The third proportional to 6,608.19 and 14,530.69 is: 31,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.19 : 14,530.69 = 14,530.69 : x
  2. Step 2: Convert to fraction form
    6,608.19/14,530.69 = 14,530.69/x
  3. Step 3: Cross multiply
    6,608.19x = 14,530.69 × 14,530.69
  4. Step 4: Simplify right side
    6,608.19x = 211,140,879.22
  5. Step 5: Solve for x
    x = 211,140,879.22/6,608.19
  6. Step 6: Final answer
    x = 31,951.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.