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Finding the Third Proportional to 7,650 and 11,824

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Solution

The third proportional to 7,650 and 11,824 is: 18,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650 : 11,824 = 11,824 : x
  2. Step 2: Convert to fraction form
    7,650/11,824 = 11,824/x
  3. Step 3: Cross multiply
    7,650x = 11,824 × 11,824
  4. Step 4: Simplify right side
    7,650x = 139,806,976
  5. Step 5: Solve for x
    x = 139,806,976/7,650
  6. Step 6: Final answer
    x = 18,275.42

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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.