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Finding the Third Proportional to 13,797 and 30,048

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Solution

The third proportional to 13,797 and 30,048 is: 65,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 30,048 = 30,048 : x
  2. Step 2: Convert to fraction form
    13,797/30,048 = 30,048/x
  3. Step 3: Cross multiply
    13,797x = 30,048 × 30,048
  4. Step 4: Simplify right side
    13,797x = 902,882,304
  5. Step 5: Solve for x
    x = 902,882,304/13,797
  6. Step 6: Final answer
    x = 65,440.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.