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Finding the Third Proportional to 7,813.88 and 16,855.13

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Solution

The third proportional to 7,813.88 and 16,855.13 is: 36,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.88 : 16,855.13 = 16,855.13 : x
  2. Step 2: Convert to fraction form
    7,813.88/16,855.13 = 16,855.13/x
  3. Step 3: Cross multiply
    7,813.88x = 16,855.13 × 16,855.13
  4. Step 4: Simplify right side
    7,813.88x = 284,095,238.77
  5. Step 5: Solve for x
    x = 284,095,238.77/7,813.88
  6. Step 6: Final answer
    x = 36,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.