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Finding the Third Proportional to 4,072 and 6,324

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Solution

The third proportional to 4,072 and 6,324 is: 9,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 6,324 = 6,324 : x
  2. Step 2: Convert to fraction form
    4,072/6,324 = 6,324/x
  3. Step 3: Cross multiply
    4,072x = 6,324 × 6,324
  4. Step 4: Simplify right side
    4,072x = 39,992,976
  5. Step 5: Solve for x
    x = 39,992,976/4,072
  6. Step 6: Final answer
    x = 9,821.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.