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Finding the Third Proportional to 7,687.83 and 16,554.80

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Solution

The third proportional to 7,687.83 and 16,554.80 is: 35,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.83 : 16,554.80 = 16,554.80 : x
  2. Step 2: Convert to fraction form
    7,687.83/16,554.80 = 16,554.80/x
  3. Step 3: Cross multiply
    7,687.83x = 16,554.80 × 16,554.80
  4. Step 4: Simplify right side
    7,687.83x = 274,061,299.57
  5. Step 5: Solve for x
    x = 274,061,299.57/7,687.83
  6. Step 6: Final answer
    x = 35,648.73

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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.