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Finding the Third Proportional to 12,051.28 and 15,992.44

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Solution

The third proportional to 12,051.28 and 15,992.44 is: 21,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.28 : 15,992.44 = 15,992.44 : x
  2. Step 2: Convert to fraction form
    12,051.28/15,992.44 = 15,992.44/x
  3. Step 3: Cross multiply
    12,051.28x = 15,992.44 × 15,992.44
  4. Step 4: Simplify right side
    12,051.28x = 255,758,057.19
  5. Step 5: Solve for x
    x = 255,758,057.19/12,051.28
  6. Step 6: Final answer
    x = 21,222.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.