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Finding the Third Proportional to 2,039 and 4,896.50

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Solution

The third proportional to 2,039 and 4,896.50 is: 11,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 4,896.50 = 4,896.50 : x
  2. Step 2: Convert to fraction form
    2,039/4,896.50 = 4,896.50/x
  3. Step 3: Cross multiply
    2,039x = 4,896.50 × 4,896.50
  4. Step 4: Simplify right side
    2,039x = 23,975,712.25
  5. Step 5: Solve for x
    x = 23,975,712.25/2,039
  6. Step 6: Final answer
    x = 11,758.56

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.