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Finding the Third Proportional to 34,682 and 74,627

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Solution

The third proportional to 34,682 and 74,627 is: 160,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682 : 74,627 = 74,627 : x
  2. Step 2: Convert to fraction form
    34,682/74,627 = 74,627/x
  3. Step 3: Cross multiply
    34,682x = 74,627 × 74,627
  4. Step 4: Simplify right side
    34,682x = 5,569,189,129
  5. Step 5: Solve for x
    x = 5,569,189,129/34,682
  6. Step 6: Final answer
    x = 160,578.66

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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.