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Finding the Third Proportional to 3,758.25 and 8,699.25

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Solution

The third proportional to 3,758.25 and 8,699.25 is: 20,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.25 : 8,699.25 = 8,699.25 : x
  2. Step 2: Convert to fraction form
    3,758.25/8,699.25 = 8,699.25/x
  3. Step 3: Cross multiply
    3,758.25x = 8,699.25 × 8,699.25
  4. Step 4: Simplify right side
    3,758.25x = 75,676,950.56
  5. Step 5: Solve for x
    x = 75,676,950.56/3,758.25
  6. Step 6: Final answer
    x = 20,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.