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Finding the Third Proportional to 39,136.50 and 52,427.25

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Solution

The third proportional to 39,136.50 and 52,427.25 is: 70,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,136.50 : 52,427.25 = 52,427.25 : x
  2. Step 2: Convert to fraction form
    39,136.50/52,427.25 = 52,427.25/x
  3. Step 3: Cross multiply
    39,136.50x = 52,427.25 × 52,427.25
  4. Step 4: Simplify right side
    39,136.50x = 2,748,616,542.56
  5. Step 5: Solve for x
    x = 2,748,616,542.56/39,136.50
  6. Step 6: Final answer
    x = 70,231.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.