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Finding the Third Proportional to 33,869 and 72,445

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Solution

The third proportional to 33,869 and 72,445 is: 154,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,869 : 72,445 = 72,445 : x
  2. Step 2: Convert to fraction form
    33,869/72,445 = 72,445/x
  3. Step 3: Cross multiply
    33,869x = 72,445 × 72,445
  4. Step 4: Simplify right side
    33,869x = 5,248,278,025
  5. Step 5: Solve for x
    x = 5,248,278,025/33,869
  6. Step 6: Final answer
    x = 154,958.16

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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.