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Finding the Third Proportional to 9,624 and 16,896

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Solution

The third proportional to 9,624 and 16,896 is: 29,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 16,896 = 16,896 : x
  2. Step 2: Convert to fraction form
    9,624/16,896 = 16,896/x
  3. Step 3: Cross multiply
    9,624x = 16,896 × 16,896
  4. Step 4: Simplify right side
    9,624x = 285,474,816
  5. Step 5: Solve for x
    x = 285,474,816/9,624
  6. Step 6: Final answer
    x = 29,662.80

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.