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Finding the Third Proportional to 3,024 and 7,330

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Solution

The third proportional to 3,024 and 7,330 is: 17,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 7,330 = 7,330 : x
  2. Step 2: Convert to fraction form
    3,024/7,330 = 7,330/x
  3. Step 3: Cross multiply
    3,024x = 7,330 × 7,330
  4. Step 4: Simplify right side
    3,024x = 53,728,900
  5. Step 5: Solve for x
    x = 53,728,900/3,024
  6. Step 6: Final answer
    x = 17,767.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.