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Finding the Third Proportional to 25,695 and 39,136.50

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Solution

The third proportional to 25,695 and 39,136.50 is: 59,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695 : 39,136.50 = 39,136.50 : x
  2. Step 2: Convert to fraction form
    25,695/39,136.50 = 39,136.50/x
  3. Step 3: Cross multiply
    25,695x = 39,136.50 × 39,136.50
  4. Step 4: Simplify right side
    25,695x = 1,531,665,632.25
  5. Step 5: Solve for x
    x = 1,531,665,632.25/25,695
  6. Step 6: Final answer
    x = 59,609.48

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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.