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Finding the Third Proportional to 7,836.75 and 16,873.31

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Solution

The third proportional to 7,836.75 and 16,873.31 is: 36,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 16,873.31 = 16,873.31 : x
  2. Step 2: Convert to fraction form
    7,836.75/16,873.31 = 16,873.31/x
  3. Step 3: Cross multiply
    7,836.75x = 16,873.31 × 16,873.31
  4. Step 4: Simplify right side
    7,836.75x = 284,708,674.72
  5. Step 5: Solve for x
    x = 284,708,674.72/7,836.75
  6. Step 6: Final answer
    x = 36,329.94

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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.