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Finding the Third Proportional to 1,136.53 and 1,609.88

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Solution

The third proportional to 1,136.53 and 1,609.88 is: 2,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.53 : 1,609.88 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    1,136.53/1,609.88 = 1,609.88/x
  3. Step 3: Cross multiply
    1,136.53x = 1,609.88 × 1,609.88
  4. Step 4: Simplify right side
    1,136.53x = 2,591,697.52
  5. Step 5: Solve for x
    x = 2,591,697.52/1,136.53
  6. Step 6: Final answer
    x = 2,280.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.