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Finding the Third Proportional to 5,112.70 and 10,843.45

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Solution

The third proportional to 5,112.70 and 10,843.45 is: 22,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.70 : 10,843.45 = 10,843.45 : x
  2. Step 2: Convert to fraction form
    5,112.70/10,843.45 = 10,843.45/x
  3. Step 3: Cross multiply
    5,112.70x = 10,843.45 × 10,843.45
  4. Step 4: Simplify right side
    5,112.70x = 117,580,475.67
  5. Step 5: Solve for x
    x = 117,580,475.67/5,112.70
  6. Step 6: Final answer
    x = 22,997.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.