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Finding the Third Proportional to 7,754 and 16,163.50

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Solution

The third proportional to 7,754 and 16,163.50 is: 33,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754 : 16,163.50 = 16,163.50 : x
  2. Step 2: Convert to fraction form
    7,754/16,163.50 = 16,163.50/x
  3. Step 3: Cross multiply
    7,754x = 16,163.50 × 16,163.50
  4. Step 4: Simplify right side
    7,754x = 261,258,732.25
  5. Step 5: Solve for x
    x = 261,258,732.25/7,754
  6. Step 6: Final answer
    x = 33,693.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.