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Finding the Third Proportional to 13,424 and 16,272

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Solution

The third proportional to 13,424 and 16,272 is: 19,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 16,272 = 16,272 : x
  2. Step 2: Convert to fraction form
    13,424/16,272 = 16,272/x
  3. Step 3: Cross multiply
    13,424x = 16,272 × 16,272
  4. Step 4: Simplify right side
    13,424x = 264,777,984
  5. Step 5: Solve for x
    x = 264,777,984/13,424
  6. Step 6: Final answer
    x = 19,724.22

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.