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Finding the Third Proportional to 21,764 and 44,816

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Solution

The third proportional to 21,764 and 44,816 is: 92,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764 : 44,816 = 44,816 : x
  2. Step 2: Convert to fraction form
    21,764/44,816 = 44,816/x
  3. Step 3: Cross multiply
    21,764x = 44,816 × 44,816
  4. Step 4: Simplify right side
    21,764x = 2,008,473,856
  5. Step 5: Solve for x
    x = 2,008,473,856/21,764
  6. Step 6: Final answer
    x = 92,284.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.