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Finding the Third Proportional to 34,592 and 74,635

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Solution

The third proportional to 34,592 and 74,635 is: 161,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,592 : 74,635 = 74,635 : x
  2. Step 2: Convert to fraction form
    34,592/74,635 = 74,635/x
  3. Step 3: Cross multiply
    34,592x = 74,635 × 74,635
  4. Step 4: Simplify right side
    34,592x = 5,570,383,225
  5. Step 5: Solve for x
    x = 5,570,383,225/34,592
  6. Step 6: Final answer
    x = 161,030.97

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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.