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Finding the Third Proportional to 3,164.27 and 7,325.54

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Solution

The third proportional to 3,164.27 and 7,325.54 is: 16,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.27 : 7,325.54 = 7,325.54 : x
  2. Step 2: Convert to fraction form
    3,164.27/7,325.54 = 7,325.54/x
  3. Step 3: Cross multiply
    3,164.27x = 7,325.54 × 7,325.54
  4. Step 4: Simplify right side
    3,164.27x = 53,663,579.79
  5. Step 5: Solve for x
    x = 53,663,579.79/3,164.27
  6. Step 6: Final answer
    x = 16,959.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.