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Finding the Third Proportional to 8,028.70 and 11,412.14

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Solution

The third proportional to 8,028.70 and 11,412.14 is: 16,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.70 : 11,412.14 = 11,412.14 : x
  2. Step 2: Convert to fraction form
    8,028.70/11,412.14 = 11,412.14/x
  3. Step 3: Cross multiply
    8,028.70x = 11,412.14 × 11,412.14
  4. Step 4: Simplify right side
    8,028.70x = 130,236,953.64
  5. Step 5: Solve for x
    x = 130,236,953.64/8,028.70
  6. Step 6: Final answer
    x = 16,221.42

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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.