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Finding the Third Proportional to 14,992 and 21,912

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Solution

The third proportional to 14,992 and 21,912 is: 32,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 21,912 = 21,912 : x
  2. Step 2: Convert to fraction form
    14,992/21,912 = 21,912/x
  3. Step 3: Cross multiply
    14,992x = 21,912 × 21,912
  4. Step 4: Simplify right side
    14,992x = 480,135,744
  5. Step 5: Solve for x
    x = 480,135,744/14,992
  6. Step 6: Final answer
    x = 32,026.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.