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Finding the Third Proportional to 6,495.75 and 13,879.97

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Solution

The third proportional to 6,495.75 and 13,879.97 is: 29,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.75 : 13,879.97 = 13,879.97 : x
  2. Step 2: Convert to fraction form
    6,495.75/13,879.97 = 13,879.97/x
  3. Step 3: Cross multiply
    6,495.75x = 13,879.97 × 13,879.97
  4. Step 4: Simplify right side
    6,495.75x = 192,653,532.50
  5. Step 5: Solve for x
    x = 192,653,532.50/6,495.75
  6. Step 6: Final answer
    x = 29,658.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.