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Finding the Third Proportional to 32,756 and 51,951

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Solution

The third proportional to 32,756 and 51,951 is: 82,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756 : 51,951 = 51,951 : x
  2. Step 2: Convert to fraction form
    32,756/51,951 = 51,951/x
  3. Step 3: Cross multiply
    32,756x = 51,951 × 51,951
  4. Step 4: Simplify right side
    32,756x = 2,698,906,401
  5. Step 5: Solve for x
    x = 2,698,906,401/32,756
  6. Step 6: Final answer
    x = 82,394.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.