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Finding the Third Proportional to 14,406 and 33,374

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Solution

The third proportional to 14,406 and 33,374 is: 77,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 33,374 = 33,374 : x
  2. Step 2: Convert to fraction form
    14,406/33,374 = 33,374/x
  3. Step 3: Cross multiply
    14,406x = 33,374 × 33,374
  4. Step 4: Simplify right side
    14,406x = 1,113,823,876
  5. Step 5: Solve for x
    x = 1,113,823,876/14,406
  6. Step 6: Final answer
    x = 77,316.67

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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.