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Finding the Third Proportional to 9,136.13 and 14,311.69

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Solution

The third proportional to 9,136.13 and 14,311.69 is: 22,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.13 : 14,311.69 = 14,311.69 : x
  2. Step 2: Convert to fraction form
    9,136.13/14,311.69 = 14,311.69/x
  3. Step 3: Cross multiply
    9,136.13x = 14,311.69 × 14,311.69
  4. Step 4: Simplify right side
    9,136.13x = 204,824,399.10
  5. Step 5: Solve for x
    x = 204,824,399.10/9,136.13
  6. Step 6: Final answer
    x = 22,419.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.