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Finding the Third Proportional to 10,644 and 21,818

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Solution

The third proportional to 10,644 and 21,818 is: 44,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644 : 21,818 = 21,818 : x
  2. Step 2: Convert to fraction form
    10,644/21,818 = 21,818/x
  3. Step 3: Cross multiply
    10,644x = 21,818 × 21,818
  4. Step 4: Simplify right side
    10,644x = 476,025,124
  5. Step 5: Solve for x
    x = 476,025,124/10,644
  6. Step 6: Final answer
    x = 44,722.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.