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Finding the Third Proportional to 33,418 and 73,275

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Solution

The third proportional to 33,418 and 73,275 is: 160,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,418 : 73,275 = 73,275 : x
  2. Step 2: Convert to fraction form
    33,418/73,275 = 73,275/x
  3. Step 3: Cross multiply
    33,418x = 73,275 × 73,275
  4. Step 4: Simplify right side
    33,418x = 5,369,225,625
  5. Step 5: Solve for x
    x = 5,369,225,625/33,418
  6. Step 6: Final answer
    x = 160,668.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.