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Finding the Third Proportional to 11,128.50 and 15,846.75

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Solution

The third proportional to 11,128.50 and 15,846.75 is: 22,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128.50 : 15,846.75 = 15,846.75 : x
  2. Step 2: Convert to fraction form
    11,128.50/15,846.75 = 15,846.75/x
  3. Step 3: Cross multiply
    11,128.50x = 15,846.75 × 15,846.75
  4. Step 4: Simplify right side
    11,128.50x = 251,119,485.56
  5. Step 5: Solve for x
    x = 251,119,485.56/11,128.50
  6. Step 6: Final answer
    x = 22,565.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.