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Finding the Third Proportional to 38,350 and 83,446

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Solution

The third proportional to 38,350 and 83,446 is: 181,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350 : 83,446 = 83,446 : x
  2. Step 2: Convert to fraction form
    38,350/83,446 = 83,446/x
  3. Step 3: Cross multiply
    38,350x = 83,446 × 83,446
  4. Step 4: Simplify right side
    38,350x = 6,963,234,916
  5. Step 5: Solve for x
    x = 6,963,234,916/38,350
  6. Step 6: Final answer
    x = 181,570.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.