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Finding the Third Proportional to 32,136.75 and 49,427.25

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Solution

The third proportional to 32,136.75 and 49,427.25 is: 76,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.75 : 49,427.25 = 49,427.25 : x
  2. Step 2: Convert to fraction form
    32,136.75/49,427.25 = 49,427.25/x
  3. Step 3: Cross multiply
    32,136.75x = 49,427.25 × 49,427.25
  4. Step 4: Simplify right side
    32,136.75x = 2,443,053,042.56
  5. Step 5: Solve for x
    x = 2,443,053,042.56/32,136.75
  6. Step 6: Final answer
    x = 76,020.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.