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Finding the Third Proportional to 34,191 and 51,742

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Solution

The third proportional to 34,191 and 51,742 is: 78,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191 : 51,742 = 51,742 : x
  2. Step 2: Convert to fraction form
    34,191/51,742 = 51,742/x
  3. Step 3: Cross multiply
    34,191x = 51,742 × 51,742
  4. Step 4: Simplify right side
    34,191x = 2,677,234,564
  5. Step 5: Solve for x
    x = 2,677,234,564/34,191
  6. Step 6: Final answer
    x = 78,302.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.