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Finding the Third Proportional to 4,639.78 and 9,638.37

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Solution

The third proportional to 4,639.78 and 9,638.37 is: 20,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.78 : 9,638.37 = 9,638.37 : x
  2. Step 2: Convert to fraction form
    4,639.78/9,638.37 = 9,638.37/x
  3. Step 3: Cross multiply
    4,639.78x = 9,638.37 × 9,638.37
  4. Step 4: Simplify right side
    4,639.78x = 92,898,122.04
  5. Step 5: Solve for x
    x = 92,898,122.04/4,639.78
  6. Step 6: Final answer
    x = 20,022.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.