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Finding the Third Proportional to 15,792 and 18,096

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Solution

The third proportional to 15,792 and 18,096 is: 20,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792 : 18,096 = 18,096 : x
  2. Step 2: Convert to fraction form
    15,792/18,096 = 18,096/x
  3. Step 3: Cross multiply
    15,792x = 18,096 × 18,096
  4. Step 4: Simplify right side
    15,792x = 327,465,216
  5. Step 5: Solve for x
    x = 327,465,216/15,792
  6. Step 6: Final answer
    x = 20,736.15

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.