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Finding the Third Proportional to 3,675.19 and 8,674.31

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Solution

The third proportional to 3,675.19 and 8,674.31 is: 20,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.19 : 8,674.31 = 8,674.31 : x
  2. Step 2: Convert to fraction form
    3,675.19/8,674.31 = 8,674.31/x
  3. Step 3: Cross multiply
    3,675.19x = 8,674.31 × 8,674.31
  4. Step 4: Simplify right side
    3,675.19x = 75,243,697.35
  5. Step 5: Solve for x
    x = 75,243,697.35/3,675.19
  6. Step 6: Final answer
    x = 20,473.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.