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Finding the Third Proportional to 16,447.50 and 39,770

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Solution

The third proportional to 16,447.50 and 39,770 is: 96,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.50 : 39,770 = 39,770 : x
  2. Step 2: Convert to fraction form
    16,447.50/39,770 = 39,770/x
  3. Step 3: Cross multiply
    16,447.50x = 39,770 × 39,770
  4. Step 4: Simplify right side
    16,447.50x = 1,581,652,900
  5. Step 5: Solve for x
    x = 1,581,652,900/16,447.50
  6. Step 6: Final answer
    x = 96,163.73

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.