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Finding the Third Proportional to 16,022.50 and 34,749

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Solution

The third proportional to 16,022.50 and 34,749 is: 75,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.50 : 34,749 = 34,749 : x
  2. Step 2: Convert to fraction form
    16,022.50/34,749 = 34,749/x
  3. Step 3: Cross multiply
    16,022.50x = 34,749 × 34,749
  4. Step 4: Simplify right side
    16,022.50x = 1,207,493,001
  5. Step 5: Solve for x
    x = 1,207,493,001/16,022.50
  6. Step 6: Final answer
    x = 75,362.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.