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Finding the Third Proportional to 34,031 and 51,084

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Solution

The third proportional to 34,031 and 51,084 is: 76,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031 : 51,084 = 51,084 : x
  2. Step 2: Convert to fraction form
    34,031/51,084 = 51,084/x
  3. Step 3: Cross multiply
    34,031x = 51,084 × 51,084
  4. Step 4: Simplify right side
    34,031x = 2,609,575,056
  5. Step 5: Solve for x
    x = 2,609,575,056/34,031
  6. Step 6: Final answer
    x = 76,682.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.