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Finding the Third Proportional to 3,206.81 and 6,892.31

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Solution

The third proportional to 3,206.81 and 6,892.31 is: 14,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.81 : 6,892.31 = 6,892.31 : x
  2. Step 2: Convert to fraction form
    3,206.81/6,892.31 = 6,892.31/x
  3. Step 3: Cross multiply
    3,206.81x = 6,892.31 × 6,892.31
  4. Step 4: Simplify right side
    3,206.81x = 47,503,971.60
  5. Step 5: Solve for x
    x = 47,503,971.60/3,206.81
  6. Step 6: Final answer
    x = 14,813.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.