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Finding the Third Proportional to 34,684 and 74,832

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Solution

The third proportional to 34,684 and 74,832 is: 161,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684 : 74,832 = 74,832 : x
  2. Step 2: Convert to fraction form
    34,684/74,832 = 74,832/x
  3. Step 3: Cross multiply
    34,684x = 74,832 × 74,832
  4. Step 4: Simplify right side
    34,684x = 5,599,828,224
  5. Step 5: Solve for x
    x = 5,599,828,224/34,684
  6. Step 6: Final answer
    x = 161,452.78

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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.