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Finding the Third Proportional to 28,638.75 and 62,923

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Solution

The third proportional to 28,638.75 and 62,923 is: 138,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638.75 : 62,923 = 62,923 : x
  2. Step 2: Convert to fraction form
    28,638.75/62,923 = 62,923/x
  3. Step 3: Cross multiply
    28,638.75x = 62,923 × 62,923
  4. Step 4: Simplify right side
    28,638.75x = 3,959,303,929
  5. Step 5: Solve for x
    x = 3,959,303,929/28,638.75
  6. Step 6: Final answer
    x = 138,249.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.