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Finding the Third Proportional to 9,807.94 and 20,132.56

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Solution

The third proportional to 9,807.94 and 20,132.56 is: 41,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.94 : 20,132.56 = 20,132.56 : x
  2. Step 2: Convert to fraction form
    9,807.94/20,132.56 = 20,132.56/x
  3. Step 3: Cross multiply
    9,807.94x = 20,132.56 × 20,132.56
  4. Step 4: Simplify right side
    9,807.94x = 405,320,072.82
  5. Step 5: Solve for x
    x = 405,320,072.82/9,807.94
  6. Step 6: Final answer
    x = 41,325.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.