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Finding the Third Proportional to 40,350 and 82,341

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Solution

The third proportional to 40,350 and 82,341 is: 168,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,350 : 82,341 = 82,341 : x
  2. Step 2: Convert to fraction form
    40,350/82,341 = 82,341/x
  3. Step 3: Cross multiply
    40,350x = 82,341 × 82,341
  4. Step 4: Simplify right side
    40,350x = 6,780,040,281
  5. Step 5: Solve for x
    x = 6,780,040,281/40,350
  6. Step 6: Final answer
    x = 168,030.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.