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Finding the Third Proportional to 3,889.69 and 5,787.28

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Solution

The third proportional to 3,889.69 and 5,787.28 is: 8,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.69 : 5,787.28 = 5,787.28 : x
  2. Step 2: Convert to fraction form
    3,889.69/5,787.28 = 5,787.28/x
  3. Step 3: Cross multiply
    3,889.69x = 5,787.28 × 5,787.28
  4. Step 4: Simplify right side
    3,889.69x = 33,492,624.27
  5. Step 5: Solve for x
    x = 33,492,624.27/3,889.69
  6. Step 6: Final answer
    x = 8,610.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.