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Finding the Third Proportional to 4,467 and 11,671.50

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Solution

The third proportional to 4,467 and 11,671.50 is: 30,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467 : 11,671.50 = 11,671.50 : x
  2. Step 2: Convert to fraction form
    4,467/11,671.50 = 11,671.50/x
  3. Step 3: Cross multiply
    4,467x = 11,671.50 × 11,671.50
  4. Step 4: Simplify right side
    4,467x = 136,223,912.25
  5. Step 5: Solve for x
    x = 136,223,912.25/4,467
  6. Step 6: Final answer
    x = 30,495.62

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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.