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Finding the Third Proportional to 29,336 and 69,230

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Solution

The third proportional to 29,336 and 69,230 is: 163,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,336 : 69,230 = 69,230 : x
  2. Step 2: Convert to fraction form
    29,336/69,230 = 69,230/x
  3. Step 3: Cross multiply
    29,336x = 69,230 × 69,230
  4. Step 4: Simplify right side
    29,336x = 4,792,792,900
  5. Step 5: Solve for x
    x = 4,792,792,900/29,336
  6. Step 6: Final answer
    x = 163,375.81

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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.