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Finding the Third Proportional to 2,817 and 3,836.25

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Solution

The third proportional to 2,817 and 3,836.25 is: 5,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817 : 3,836.25 = 3,836.25 : x
  2. Step 2: Convert to fraction form
    2,817/3,836.25 = 3,836.25/x
  3. Step 3: Cross multiply
    2,817x = 3,836.25 × 3,836.25
  4. Step 4: Simplify right side
    2,817x = 14,716,814.06
  5. Step 5: Solve for x
    x = 14,716,814.06/2,817
  6. Step 6: Final answer
    x = 5,224.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.