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Finding the Third Proportional to 3,423.09 and 5,225.34

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Solution

The third proportional to 3,423.09 and 5,225.34 is: 7,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.09 : 5,225.34 = 5,225.34 : x
  2. Step 2: Convert to fraction form
    3,423.09/5,225.34 = 5,225.34/x
  3. Step 3: Cross multiply
    3,423.09x = 5,225.34 × 5,225.34
  4. Step 4: Simplify right side
    3,423.09x = 27,304,217.31
  5. Step 5: Solve for x
    x = 27,304,217.31/3,423.09
  6. Step 6: Final answer
    x = 7,976.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.