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Finding the Third Proportional to 4,843.86 and 9,995.27

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Solution

The third proportional to 4,843.86 and 9,995.27 is: 20,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.86 : 9,995.27 = 9,995.27 : x
  2. Step 2: Convert to fraction form
    4,843.86/9,995.27 = 9,995.27/x
  3. Step 3: Cross multiply
    4,843.86x = 9,995.27 × 9,995.27
  4. Step 4: Simplify right side
    4,843.86x = 99,905,491.09
  5. Step 5: Solve for x
    x = 99,905,491.09/4,843.86
  6. Step 6: Final answer
    x = 20,625.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.