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Finding the Third Proportional to 16,825.50 and 18,634.50

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Solution

The third proportional to 16,825.50 and 18,634.50 is: 20,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.50 : 18,634.50 = 18,634.50 : x
  2. Step 2: Convert to fraction form
    16,825.50/18,634.50 = 18,634.50/x
  3. Step 3: Cross multiply
    16,825.50x = 18,634.50 × 18,634.50
  4. Step 4: Simplify right side
    16,825.50x = 347,244,590.25
  5. Step 5: Solve for x
    x = 347,244,590.25/16,825.50
  6. Step 6: Final answer
    x = 20,638.00

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.