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Finding the Third Proportional to 41,884.50 and 90,330

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Solution

The third proportional to 41,884.50 and 90,330 is: 194,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884.50 : 90,330 = 90,330 : x
  2. Step 2: Convert to fraction form
    41,884.50/90,330 = 90,330/x
  3. Step 3: Cross multiply
    41,884.50x = 90,330 × 90,330
  4. Step 4: Simplify right side
    41,884.50x = 8,159,508,900
  5. Step 5: Solve for x
    x = 8,159,508,900/41,884.50
  6. Step 6: Final answer
    x = 194,809.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.