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Finding the Third Proportional to 4,827.94 and 10,420.31

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Solution

The third proportional to 4,827.94 and 10,420.31 is: 22,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.94 : 10,420.31 = 10,420.31 : x
  2. Step 2: Convert to fraction form
    4,827.94/10,420.31 = 10,420.31/x
  3. Step 3: Cross multiply
    4,827.94x = 10,420.31 × 10,420.31
  4. Step 4: Simplify right side
    4,827.94x = 108,582,912.60
  5. Step 5: Solve for x
    x = 108,582,912.60/4,827.94
  6. Step 6: Final answer
    x = 22,490.54

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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.