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Finding the Third Proportional to 7,546 and 16,189

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Solution

The third proportional to 7,546 and 16,189 is: 34,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 16,189 = 16,189 : x
  2. Step 2: Convert to fraction form
    7,546/16,189 = 16,189/x
  3. Step 3: Cross multiply
    7,546x = 16,189 × 16,189
  4. Step 4: Simplify right side
    7,546x = 262,083,721
  5. Step 5: Solve for x
    x = 262,083,721/7,546
  6. Step 6: Final answer
    x = 34,731.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.