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Finding the Third Proportional to 15,973 and 34,661

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Solution

The third proportional to 15,973 and 34,661 is: 75,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973 : 34,661 = 34,661 : x
  2. Step 2: Convert to fraction form
    15,973/34,661 = 34,661/x
  3. Step 3: Cross multiply
    15,973x = 34,661 × 34,661
  4. Step 4: Simplify right side
    15,973x = 1,201,384,921
  5. Step 5: Solve for x
    x = 1,201,384,921/15,973
  6. Step 6: Final answer
    x = 75,213.48

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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.