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Finding the Third Proportional to 29,638 and 69,962

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Solution

The third proportional to 29,638 and 69,962 is: 165,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 69,962 = 69,962 : x
  2. Step 2: Convert to fraction form
    29,638/69,962 = 69,962/x
  3. Step 3: Cross multiply
    29,638x = 69,962 × 69,962
  4. Step 4: Simplify right side
    29,638x = 4,894,681,444
  5. Step 5: Solve for x
    x = 4,894,681,444/29,638
  6. Step 6: Final answer
    x = 165,148.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.