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Finding the Third Proportional to 23,998.50 and 51,687

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Solution

The third proportional to 23,998.50 and 51,687 is: 111,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.50 : 51,687 = 51,687 : x
  2. Step 2: Convert to fraction form
    23,998.50/51,687 = 51,687/x
  3. Step 3: Cross multiply
    23,998.50x = 51,687 × 51,687
  4. Step 4: Simplify right side
    23,998.50x = 2,671,545,969
  5. Step 5: Solve for x
    x = 2,671,545,969/23,998.50
  6. Step 6: Final answer
    x = 111,321.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.