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Finding the Third Proportional to 34,638 and 74,811

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Solution

The third proportional to 34,638 and 74,811 is: 161,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,638 : 74,811 = 74,811 : x
  2. Step 2: Convert to fraction form
    34,638/74,811 = 74,811/x
  3. Step 3: Cross multiply
    34,638x = 74,811 × 74,811
  4. Step 4: Simplify right side
    34,638x = 5,596,685,721
  5. Step 5: Solve for x
    x = 5,596,685,721/34,638
  6. Step 6: Final answer
    x = 161,576.47

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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.