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Finding the Third Proportional to 12,515.34 and 16,893.56

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Solution

The third proportional to 12,515.34 and 16,893.56 is: 22,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.34 : 16,893.56 = 16,893.56 : x
  2. Step 2: Convert to fraction form
    12,515.34/16,893.56 = 16,893.56/x
  3. Step 3: Cross multiply
    12,515.34x = 16,893.56 × 16,893.56
  4. Step 4: Simplify right side
    12,515.34x = 285,392,453.94
  5. Step 5: Solve for x
    x = 285,392,453.94/12,515.34
  6. Step 6: Final answer
    x = 22,803.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.