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Finding the Third Proportional to 12,644.44 and 18,214.88

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Solution

The third proportional to 12,644.44 and 18,214.88 is: 26,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.44 : 18,214.88 = 18,214.88 : x
  2. Step 2: Convert to fraction form
    12,644.44/18,214.88 = 18,214.88/x
  3. Step 3: Cross multiply
    12,644.44x = 18,214.88 × 18,214.88
  4. Step 4: Simplify right side
    12,644.44x = 331,781,671.27
  5. Step 5: Solve for x
    x = 331,781,671.27/12,644.44
  6. Step 6: Final answer
    x = 26,239.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.