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Finding the Third Proportional to 32,682 and 51,935

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Solution

The third proportional to 32,682 and 51,935 is: 82,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682 : 51,935 = 51,935 : x
  2. Step 2: Convert to fraction form
    32,682/51,935 = 51,935/x
  3. Step 3: Cross multiply
    32,682x = 51,935 × 51,935
  4. Step 4: Simplify right side
    32,682x = 2,697,244,225
  5. Step 5: Solve for x
    x = 2,697,244,225/32,682
  6. Step 6: Final answer
    x = 82,529.96

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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.