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Finding the Third Proportional to 39,136.50 and 59,452.50

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Solution

The third proportional to 39,136.50 and 59,452.50 is: 90,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,136.50 : 59,452.50 = 59,452.50 : x
  2. Step 2: Convert to fraction form
    39,136.50/59,452.50 = 59,452.50/x
  3. Step 3: Cross multiply
    39,136.50x = 59,452.50 × 59,452.50
  4. Step 4: Simplify right side
    39,136.50x = 3,534,599,756.25
  5. Step 5: Solve for x
    x = 3,534,599,756.25/39,136.50
  6. Step 6: Final answer
    x = 90,314.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.