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Finding the Third Proportional to 34,605 and 75,671

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Solution

The third proportional to 34,605 and 75,671 is: 165,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605 : 75,671 = 75,671 : x
  2. Step 2: Convert to fraction form
    34,605/75,671 = 75,671/x
  3. Step 3: Cross multiply
    34,605x = 75,671 × 75,671
  4. Step 4: Simplify right side
    34,605x = 5,726,100,241
  5. Step 5: Solve for x
    x = 5,726,100,241/34,605
  6. Step 6: Final answer
    x = 165,470.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.