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Finding the Third Proportional to 33,872 and 72,433

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Solution

The third proportional to 33,872 and 72,433 is: 154,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872 : 72,433 = 72,433 : x
  2. Step 2: Convert to fraction form
    33,872/72,433 = 72,433/x
  3. Step 3: Cross multiply
    33,872x = 72,433 × 72,433
  4. Step 4: Simplify right side
    33,872x = 5,246,539,489
  5. Step 5: Solve for x
    x = 5,246,539,489/33,872
  6. Step 6: Final answer
    x = 154,893.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.