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Finding the Third Proportional to 17,644.50 and 19,489.50

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Solution

The third proportional to 17,644.50 and 19,489.50 is: 21,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.50 : 19,489.50 = 19,489.50 : x
  2. Step 2: Convert to fraction form
    17,644.50/19,489.50 = 19,489.50/x
  3. Step 3: Cross multiply
    17,644.50x = 19,489.50 × 19,489.50
  4. Step 4: Simplify right side
    17,644.50x = 379,840,610.25
  5. Step 5: Solve for x
    x = 379,840,610.25/17,644.50
  6. Step 6: Final answer
    x = 21,527.42

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.