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Finding the Third Proportional to 32,611 and 51,835

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Solution

The third proportional to 32,611 and 51,835 is: 82,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611 : 51,835 = 51,835 : x
  2. Step 2: Convert to fraction form
    32,611/51,835 = 51,835/x
  3. Step 3: Cross multiply
    32,611x = 51,835 × 51,835
  4. Step 4: Simplify right side
    32,611x = 2,686,867,225
  5. Step 5: Solve for x
    x = 2,686,867,225/32,611
  6. Step 6: Final answer
    x = 82,391.44

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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.