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Finding the Third Proportional to 13,792 and 29,984

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Solution

The third proportional to 13,792 and 29,984 is: 65,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792 : 29,984 = 29,984 : x
  2. Step 2: Convert to fraction form
    13,792/29,984 = 29,984/x
  3. Step 3: Cross multiply
    13,792x = 29,984 × 29,984
  4. Step 4: Simplify right side
    13,792x = 899,040,256
  5. Step 5: Solve for x
    x = 899,040,256/13,792
  6. Step 6: Final answer
    x = 65,185.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.