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Finding the Third Proportional to 34,379 and 74,371

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Solution

The third proportional to 34,379 and 74,371 is: 160,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,379 : 74,371 = 74,371 : x
  2. Step 2: Convert to fraction form
    34,379/74,371 = 74,371/x
  3. Step 3: Cross multiply
    34,379x = 74,371 × 74,371
  4. Step 4: Simplify right side
    34,379x = 5,531,045,641
  5. Step 5: Solve for x
    x = 5,531,045,641/34,379
  6. Step 6: Final answer
    x = 160,884.42

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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.