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Finding the Third Proportional to 3,828.94 and 8,044.31

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Solution

The third proportional to 3,828.94 and 8,044.31 is: 16,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.94 : 8,044.31 = 8,044.31 : x
  2. Step 2: Convert to fraction form
    3,828.94/8,044.31 = 8,044.31/x
  3. Step 3: Cross multiply
    3,828.94x = 8,044.31 × 8,044.31
  4. Step 4: Simplify right side
    3,828.94x = 64,710,963.60
  5. Step 5: Solve for x
    x = 64,710,963.60/3,828.94
  6. Step 6: Final answer
    x = 16,900.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.