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Finding the Third Proportional to 32,731 and 51,911

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Solution

The third proportional to 32,731 and 51,911 is: 82,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731 : 51,911 = 51,911 : x
  2. Step 2: Convert to fraction form
    32,731/51,911 = 51,911/x
  3. Step 3: Cross multiply
    32,731x = 51,911 × 51,911
  4. Step 4: Simplify right side
    32,731x = 2,694,751,921
  5. Step 5: Solve for x
    x = 2,694,751,921/32,731
  6. Step 6: Final answer
    x = 82,330.27

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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.