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Finding the Third Proportional to 29,668 and 68,986

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Solution

The third proportional to 29,668 and 68,986 is: 160,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668 : 68,986 = 68,986 : x
  2. Step 2: Convert to fraction form
    29,668/68,986 = 68,986/x
  3. Step 3: Cross multiply
    29,668x = 68,986 × 68,986
  4. Step 4: Simplify right side
    29,668x = 4,759,068,196
  5. Step 5: Solve for x
    x = 4,759,068,196/29,668
  6. Step 6: Final answer
    x = 160,410.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.