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Finding the Third Proportional to 9,664 and 16,272

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Solution

The third proportional to 9,664 and 16,272 is: 27,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 16,272 = 16,272 : x
  2. Step 2: Convert to fraction form
    9,664/16,272 = 16,272/x
  3. Step 3: Cross multiply
    9,664x = 16,272 × 16,272
  4. Step 4: Simplify right side
    9,664x = 264,777,984
  5. Step 5: Solve for x
    x = 264,777,984/9,664
  6. Step 6: Final answer
    x = 27,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.