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Finding the Third Proportional to 10,816 and 18,496

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Solution

The third proportional to 10,816 and 18,496 is: 31,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 18,496 = 18,496 : x
  2. Step 2: Convert to fraction form
    10,816/18,496 = 18,496/x
  3. Step 3: Cross multiply
    10,816x = 18,496 × 18,496
  4. Step 4: Simplify right side
    10,816x = 342,102,016
  5. Step 5: Solve for x
    x = 342,102,016/10,816
  6. Step 6: Final answer
    x = 31,629.25

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.