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Finding the Third Proportional to 3,022.45 and 4,623.12

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Solution

The third proportional to 3,022.45 and 4,623.12 is: 7,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.45 : 4,623.12 = 4,623.12 : x
  2. Step 2: Convert to fraction form
    3,022.45/4,623.12 = 4,623.12/x
  3. Step 3: Cross multiply
    3,022.45x = 4,623.12 × 4,623.12
  4. Step 4: Simplify right side
    3,022.45x = 21,373,212.53
  5. Step 5: Solve for x
    x = 21,373,212.53/3,022.45
  6. Step 6: Final answer
    x = 7,071.48

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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.