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Finding the Third Proportional to 13,619.25 and 32,201.25

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Solution

The third proportional to 13,619.25 and 32,201.25 is: 76,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.25 : 32,201.25 = 32,201.25 : x
  2. Step 2: Convert to fraction form
    13,619.25/32,201.25 = 32,201.25/x
  3. Step 3: Cross multiply
    13,619.25x = 32,201.25 × 32,201.25
  4. Step 4: Simplify right side
    13,619.25x = 1,036,920,501.56
  5. Step 5: Solve for x
    x = 1,036,920,501.56/13,619.25
  6. Step 6: Final answer
    x = 76,136.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.