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Finding the Third Proportional to 32,136.75 and 48,015.28

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Solution

The third proportional to 32,136.75 and 48,015.28 is: 71,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.75 : 48,015.28 = 48,015.28 : x
  2. Step 2: Convert to fraction form
    32,136.75/48,015.28 = 48,015.28/x
  3. Step 3: Cross multiply
    32,136.75x = 48,015.28 × 48,015.28
  4. Step 4: Simplify right side
    32,136.75x = 2,305,467,233.52
  5. Step 5: Solve for x
    x = 2,305,467,233.52/32,136.75
  6. Step 6: Final answer
    x = 71,739.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.