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Finding the Third Proportional to 34,692 and 74,647

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Solution

The third proportional to 34,692 and 74,647 is: 160,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 74,647 = 74,647 : x
  2. Step 2: Convert to fraction form
    34,692/74,647 = 74,647/x
  3. Step 3: Cross multiply
    34,692x = 74,647 × 74,647
  4. Step 4: Simplify right side
    34,692x = 5,572,174,609
  5. Step 5: Solve for x
    x = 5,572,174,609/34,692
  6. Step 6: Final answer
    x = 160,618.43

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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.