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Finding the Third Proportional to 11,568.50 and 17,136.75

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Solution

The third proportional to 11,568.50 and 17,136.75 is: 25,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.50 : 17,136.75 = 17,136.75 : x
  2. Step 2: Convert to fraction form
    11,568.50/17,136.75 = 17,136.75/x
  3. Step 3: Cross multiply
    11,568.50x = 17,136.75 × 17,136.75
  4. Step 4: Simplify right side
    11,568.50x = 293,668,200.56
  5. Step 5: Solve for x
    x = 293,668,200.56/11,568.50
  6. Step 6: Final answer
    x = 25,385.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.