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Finding the Third Proportional to 14,343 and 33,522

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Solution

The third proportional to 14,343 and 33,522 is: 78,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343 : 33,522 = 33,522 : x
  2. Step 2: Convert to fraction form
    14,343/33,522 = 33,522/x
  3. Step 3: Cross multiply
    14,343x = 33,522 × 33,522
  4. Step 4: Simplify right side
    14,343x = 1,123,724,484
  5. Step 5: Solve for x
    x = 1,123,724,484/14,343
  6. Step 6: Final answer
    x = 78,346.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.