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Finding the Third Proportional to 13,334 and 30,869

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Solution

The third proportional to 13,334 and 30,869 is: 71,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334 : 30,869 = 30,869 : x
  2. Step 2: Convert to fraction form
    13,334/30,869 = 30,869/x
  3. Step 3: Cross multiply
    13,334x = 30,869 × 30,869
  4. Step 4: Simplify right side
    13,334x = 952,895,161
  5. Step 5: Solve for x
    x = 952,895,161/13,334
  6. Step 6: Final answer
    x = 71,463.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.