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Finding the Third Proportional to 14,152 and 19,912

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Solution

The third proportional to 14,152 and 19,912 is: 28,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152 : 19,912 = 19,912 : x
  2. Step 2: Convert to fraction form
    14,152/19,912 = 19,912/x
  3. Step 3: Cross multiply
    14,152x = 19,912 × 19,912
  4. Step 4: Simplify right side
    14,152x = 396,487,744
  5. Step 5: Solve for x
    x = 396,487,744/14,152
  6. Step 6: Final answer
    x = 28,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.