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Finding the Third Proportional to 33,450 and 72,658

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Solution

The third proportional to 33,450 and 72,658 is: 157,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450 : 72,658 = 72,658 : x
  2. Step 2: Convert to fraction form
    33,450/72,658 = 72,658/x
  3. Step 3: Cross multiply
    33,450x = 72,658 × 72,658
  4. Step 4: Simplify right side
    33,450x = 5,279,184,964
  5. Step 5: Solve for x
    x = 5,279,184,964/33,450
  6. Step 6: Final answer
    x = 157,823.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.