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Finding the Third Proportional to 13,767 and 30,399

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Solution

The third proportional to 13,767 and 30,399 is: 67,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 30,399 = 30,399 : x
  2. Step 2: Convert to fraction form
    13,767/30,399 = 30,399/x
  3. Step 3: Cross multiply
    13,767x = 30,399 × 30,399
  4. Step 4: Simplify right side
    13,767x = 924,099,201
  5. Step 5: Solve for x
    x = 924,099,201/13,767
  6. Step 6: Final answer
    x = 67,124.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.