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Finding the Third Proportional to 15,400 and 23,824

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Solution

The third proportional to 15,400 and 23,824 is: 36,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 23,824 = 23,824 : x
  2. Step 2: Convert to fraction form
    15,400/23,824 = 23,824/x
  3. Step 3: Cross multiply
    15,400x = 23,824 × 23,824
  4. Step 4: Simplify right side
    15,400x = 567,582,976
  5. Step 5: Solve for x
    x = 567,582,976/15,400
  6. Step 6: Final answer
    x = 36,856.04

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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.