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Finding the Third Proportional to 12,139.88 and 16,650.56

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Solution

The third proportional to 12,139.88 and 16,650.56 is: 22,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.88 : 16,650.56 = 16,650.56 : x
  2. Step 2: Convert to fraction form
    12,139.88/16,650.56 = 16,650.56/x
  3. Step 3: Cross multiply
    12,139.88x = 16,650.56 × 16,650.56
  4. Step 4: Simplify right side
    12,139.88x = 277,241,231.57
  5. Step 5: Solve for x
    x = 277,241,231.57/12,139.88
  6. Step 6: Final answer
    x = 22,837.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.