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Finding the Third Proportional to 3,628.25 and 7,410.23

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Solution

The third proportional to 3,628.25 and 7,410.23 is: 15,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.25 : 7,410.23 = 7,410.23 : x
  2. Step 2: Convert to fraction form
    3,628.25/7,410.23 = 7,410.23/x
  3. Step 3: Cross multiply
    3,628.25x = 7,410.23 × 7,410.23
  4. Step 4: Simplify right side
    3,628.25x = 54,911,573.49
  5. Step 5: Solve for x
    x = 54,911,573.49/3,628.25
  6. Step 6: Final answer
    x = 15,134.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.