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Finding the Third Proportional to 34,715 and 81,893

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Solution

The third proportional to 34,715 and 81,893 is: 193,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715 : 81,893 = 81,893 : x
  2. Step 2: Convert to fraction form
    34,715/81,893 = 81,893/x
  3. Step 3: Cross multiply
    34,715x = 81,893 × 81,893
  4. Step 4: Simplify right side
    34,715x = 6,706,463,449
  5. Step 5: Solve for x
    x = 6,706,463,449/34,715
  6. Step 6: Final answer
    x = 193,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.