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Finding the Third Proportional to 10,192 and 11,824

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Solution

The third proportional to 10,192 and 11,824 is: 13,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 11,824 = 11,824 : x
  2. Step 2: Convert to fraction form
    10,192/11,824 = 11,824/x
  3. Step 3: Cross multiply
    10,192x = 11,824 × 11,824
  4. Step 4: Simplify right side
    10,192x = 139,806,976
  5. Step 5: Solve for x
    x = 139,806,976/10,192
  6. Step 6: Final answer
    x = 13,717.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.