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Finding the Third Proportional to 23,020.50 and 49,983

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Solution

The third proportional to 23,020.50 and 49,983 is: 108,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.50 : 49,983 = 49,983 : x
  2. Step 2: Convert to fraction form
    23,020.50/49,983 = 49,983/x
  3. Step 3: Cross multiply
    23,020.50x = 49,983 × 49,983
  4. Step 4: Simplify right side
    23,020.50x = 2,498,300,289
  5. Step 5: Solve for x
    x = 2,498,300,289/23,020.50
  6. Step 6: Final answer
    x = 108,525.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.