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Finding the Third Proportional to 7,812.06 and 17,187.44

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Solution

The third proportional to 7,812.06 and 17,187.44 is: 37,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.06 : 17,187.44 = 17,187.44 : x
  2. Step 2: Convert to fraction form
    7,812.06/17,187.44 = 17,187.44/x
  3. Step 3: Cross multiply
    7,812.06x = 17,187.44 × 17,187.44
  4. Step 4: Simplify right side
    7,812.06x = 295,408,007.82
  5. Step 5: Solve for x
    x = 295,408,007.82/7,812.06
  6. Step 6: Final answer
    x = 37,814.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.