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Finding the Third Proportional to 34,201 and 51,756

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Solution

The third proportional to 34,201 and 51,756 is: 78,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201 : 51,756 = 51,756 : x
  2. Step 2: Convert to fraction form
    34,201/51,756 = 51,756/x
  3. Step 3: Cross multiply
    34,201x = 51,756 × 51,756
  4. Step 4: Simplify right side
    34,201x = 2,678,683,536
  5. Step 5: Solve for x
    x = 2,678,683,536/34,201
  6. Step 6: Final answer
    x = 78,321.79

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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.