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Finding the Third Proportional to 7,690.50 and 16,191

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Solution

The third proportional to 7,690.50 and 16,191 is: 34,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.50 : 16,191 = 16,191 : x
  2. Step 2: Convert to fraction form
    7,690.50/16,191 = 16,191/x
  3. Step 3: Cross multiply
    7,690.50x = 16,191 × 16,191
  4. Step 4: Simplify right side
    7,690.50x = 262,148,481
  5. Step 5: Solve for x
    x = 262,148,481/7,690.50
  6. Step 6: Final answer
    x = 34,087.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.