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Finding the Third Proportional to 29,620 and 69,922

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Solution

The third proportional to 29,620 and 69,922 is: 165,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,620 : 69,922 = 69,922 : x
  2. Step 2: Convert to fraction form
    29,620/69,922 = 69,922/x
  3. Step 3: Cross multiply
    29,620x = 69,922 × 69,922
  4. Step 4: Simplify right side
    29,620x = 4,889,086,084
  5. Step 5: Solve for x
    x = 4,889,086,084/29,620
  6. Step 6: Final answer
    x = 165,060.30

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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.