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Finding the Third Proportional to 7,922.81 and 16,815.09

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Solution

The third proportional to 7,922.81 and 16,815.09 is: 35,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.81 : 16,815.09 = 16,815.09 : x
  2. Step 2: Convert to fraction form
    7,922.81/16,815.09 = 16,815.09/x
  3. Step 3: Cross multiply
    7,922.81x = 16,815.09 × 16,815.09
  4. Step 4: Simplify right side
    7,922.81x = 282,747,377.82
  5. Step 5: Solve for x
    x = 282,747,377.82/7,922.81
  6. Step 6: Final answer
    x = 35,687.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.