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Finding the Third Proportional to 3,865.19 and 8,276.94

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Solution

The third proportional to 3,865.19 and 8,276.94 is: 17,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.19 : 8,276.94 = 8,276.94 : x
  2. Step 2: Convert to fraction form
    3,865.19/8,276.94 = 8,276.94/x
  3. Step 3: Cross multiply
    3,865.19x = 8,276.94 × 8,276.94
  4. Step 4: Simplify right side
    3,865.19x = 68,507,694.38
  5. Step 5: Solve for x
    x = 68,507,694.38/3,865.19
  6. Step 6: Final answer
    x = 17,724.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.