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Finding the Third Proportional to 15,427 and 33,647

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Solution

The third proportional to 15,427 and 33,647 is: 73,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427 : 33,647 = 33,647 : x
  2. Step 2: Convert to fraction form
    15,427/33,647 = 33,647/x
  3. Step 3: Cross multiply
    15,427x = 33,647 × 33,647
  4. Step 4: Simplify right side
    15,427x = 1,132,120,609
  5. Step 5: Solve for x
    x = 1,132,120,609/15,427
  6. Step 6: Final answer
    x = 73,385.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.