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Finding the Third Proportional to 16,848 and 36,816

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Solution

The third proportional to 16,848 and 36,816 is: 80,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848 : 36,816 = 36,816 : x
  2. Step 2: Convert to fraction form
    16,848/36,816 = 36,816/x
  3. Step 3: Cross multiply
    16,848x = 36,816 × 36,816
  4. Step 4: Simplify right side
    16,848x = 1,355,417,856
  5. Step 5: Solve for x
    x = 1,355,417,856/16,848
  6. Step 6: Final answer
    x = 80,449.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.