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Finding the Third Proportional to 2,352 and 3,824

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Solution

The third proportional to 2,352 and 3,824 is: 6,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352 : 3,824 = 3,824 : x
  2. Step 2: Convert to fraction form
    2,352/3,824 = 3,824/x
  3. Step 3: Cross multiply
    2,352x = 3,824 × 3,824
  4. Step 4: Simplify right side
    2,352x = 14,622,976
  5. Step 5: Solve for x
    x = 14,622,976/2,352
  6. Step 6: Final answer
    x = 6,217.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.