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Finding the Third Proportional to 34,630 and 74,797

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Solution

The third proportional to 34,630 and 74,797 is: 161,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,630 : 74,797 = 74,797 : x
  2. Step 2: Convert to fraction form
    34,630/74,797 = 74,797/x
  3. Step 3: Cross multiply
    34,630x = 74,797 × 74,797
  4. Step 4: Simplify right side
    34,630x = 5,594,591,209
  5. Step 5: Solve for x
    x = 5,594,591,209/34,630
  6. Step 6: Final answer
    x = 161,553.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.