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Finding the Third Proportional to 13,184 and 16,896

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Solution

The third proportional to 13,184 and 16,896 is: 21,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184 : 16,896 = 16,896 : x
  2. Step 2: Convert to fraction form
    13,184/16,896 = 16,896/x
  3. Step 3: Cross multiply
    13,184x = 16,896 × 16,896
  4. Step 4: Simplify right side
    13,184x = 285,474,816
  5. Step 5: Solve for x
    x = 285,474,816/13,184
  6. Step 6: Final answer
    x = 21,653.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.