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Finding the Third Proportional to 8,112 and 19,100

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Solution

The third proportional to 8,112 and 19,100 is: 44,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 19,100 = 19,100 : x
  2. Step 2: Convert to fraction form
    8,112/19,100 = 19,100/x
  3. Step 3: Cross multiply
    8,112x = 19,100 × 19,100
  4. Step 4: Simplify right side
    8,112x = 364,810,000
  5. Step 5: Solve for x
    x = 364,810,000/8,112
  6. Step 6: Final answer
    x = 44,971.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.