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Finding the Third Proportional to 14,212 and 29,338

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Solution

The third proportional to 14,212 and 29,338 is: 60,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212 : 29,338 = 29,338 : x
  2. Step 2: Convert to fraction form
    14,212/29,338 = 29,338/x
  3. Step 3: Cross multiply
    14,212x = 29,338 × 29,338
  4. Step 4: Simplify right side
    14,212x = 860,718,244
  5. Step 5: Solve for x
    x = 860,718,244/14,212
  6. Step 6: Final answer
    x = 60,562.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.