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Finding the Third Proportional to 6,467.75 and 8,905.75

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Solution

The third proportional to 6,467.75 and 8,905.75 is: 12,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.75 : 8,905.75 = 8,905.75 : x
  2. Step 2: Convert to fraction form
    6,467.75/8,905.75 = 8,905.75/x
  3. Step 3: Cross multiply
    6,467.75x = 8,905.75 × 8,905.75
  4. Step 4: Simplify right side
    6,467.75x = 79,312,383.06
  5. Step 5: Solve for x
    x = 79,312,383.06/6,467.75
  6. Step 6: Final answer
    x = 12,262.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.