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Finding the Third Proportional to 4,647 and 11,311.50

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Solution

The third proportional to 4,647 and 11,311.50 is: 27,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647 : 11,311.50 = 11,311.50 : x
  2. Step 2: Convert to fraction form
    4,647/11,311.50 = 11,311.50/x
  3. Step 3: Cross multiply
    4,647x = 11,311.50 × 11,311.50
  4. Step 4: Simplify right side
    4,647x = 127,950,032.25
  5. Step 5: Solve for x
    x = 127,950,032.25/4,647
  6. Step 6: Final answer
    x = 27,533.90

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.