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Finding the Third Proportional to 3,836.25 and 8,276.25

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Solution

The third proportional to 3,836.25 and 8,276.25 is: 17,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.25 : 8,276.25 = 8,276.25 : x
  2. Step 2: Convert to fraction form
    3,836.25/8,276.25 = 8,276.25/x
  3. Step 3: Cross multiply
    3,836.25x = 8,276.25 × 8,276.25
  4. Step 4: Simplify right side
    3,836.25x = 68,496,314.06
  5. Step 5: Solve for x
    x = 68,496,314.06/3,836.25
  6. Step 6: Final answer
    x = 17,855.02

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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.