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Finding the Third Proportional to 32,907 and 51,569

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Solution

The third proportional to 32,907 and 51,569 is: 80,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907 : 51,569 = 51,569 : x
  2. Step 2: Convert to fraction form
    32,907/51,569 = 51,569/x
  3. Step 3: Cross multiply
    32,907x = 51,569 × 51,569
  4. Step 4: Simplify right side
    32,907x = 2,659,361,761
  5. Step 5: Solve for x
    x = 2,659,361,761/32,907
  6. Step 6: Final answer
    x = 80,814.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.