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Finding the Third Proportional to 38,854 and 83,371

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Solution

The third proportional to 38,854 and 83,371 is: 178,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854 : 83,371 = 83,371 : x
  2. Step 2: Convert to fraction form
    38,854/83,371 = 83,371/x
  3. Step 3: Cross multiply
    38,854x = 83,371 × 83,371
  4. Step 4: Simplify right side
    38,854x = 6,950,723,641
  5. Step 5: Solve for x
    x = 6,950,723,641/38,854
  6. Step 6: Final answer
    x = 178,893.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.