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Finding the Third Proportional to 2,136.75 and 3,295.88

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Solution

The third proportional to 2,136.75 and 3,295.88 is: 5,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.75 : 3,295.88 = 3,295.88 : x
  2. Step 2: Convert to fraction form
    2,136.75/3,295.88 = 3,295.88/x
  3. Step 3: Cross multiply
    2,136.75x = 3,295.88 × 3,295.88
  4. Step 4: Simplify right side
    2,136.75x = 10,862,792.02
  5. Step 5: Solve for x
    x = 10,862,792.02/2,136.75
  6. Step 6: Final answer
    x = 5,083.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.