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Finding the Third Proportional to 4,638.38 and 9,600.75

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Solution

The third proportional to 4,638.38 and 9,600.75 is: 19,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.38 : 9,600.75 = 9,600.75 : x
  2. Step 2: Convert to fraction form
    4,638.38/9,600.75 = 9,600.75/x
  3. Step 3: Cross multiply
    4,638.38x = 9,600.75 × 9,600.75
  4. Step 4: Simplify right side
    4,638.38x = 92,174,400.56
  5. Step 5: Solve for x
    x = 92,174,400.56/4,638.38
  6. Step 6: Final answer
    x = 19,872.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.