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Finding the Third Proportional to 3,007.55 and 7,245.49

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Solution

The third proportional to 3,007.55 and 7,245.49 is: 17,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.55 : 7,245.49 = 7,245.49 : x
  2. Step 2: Convert to fraction form
    3,007.55/7,245.49 = 7,245.49/x
  3. Step 3: Cross multiply
    3,007.55x = 7,245.49 × 7,245.49
  4. Step 4: Simplify right side
    3,007.55x = 52,497,157.04
  5. Step 5: Solve for x
    x = 52,497,157.04/3,007.55
  6. Step 6: Final answer
    x = 17,455.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.