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Finding the Third Proportional to 14,205 and 22,234

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Solution

The third proportional to 14,205 and 22,234 is: 34,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205 : 22,234 = 22,234 : x
  2. Step 2: Convert to fraction form
    14,205/22,234 = 22,234/x
  3. Step 3: Cross multiply
    14,205x = 22,234 × 22,234
  4. Step 4: Simplify right side
    14,205x = 494,350,756
  5. Step 5: Solve for x
    x = 494,350,756/14,205
  6. Step 6: Final answer
    x = 34,801.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.