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Finding the Third Proportional to 2,273.91 and 4,906.83

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Solution

The third proportional to 2,273.91 and 4,906.83 is: 10,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.91 : 4,906.83 = 4,906.83 : x
  2. Step 2: Convert to fraction form
    2,273.91/4,906.83 = 4,906.83/x
  3. Step 3: Cross multiply
    2,273.91x = 4,906.83 × 4,906.83
  4. Step 4: Simplify right side
    2,273.91x = 24,076,962.25
  5. Step 5: Solve for x
    x = 24,076,962.25/2,273.91
  6. Step 6: Final answer
    x = 10,588.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.