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Finding the Third Proportional to 13,136.06 and 17,699.06

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Solution

The third proportional to 13,136.06 and 17,699.06 is: 23,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.06 : 17,699.06 = 17,699.06 : x
  2. Step 2: Convert to fraction form
    13,136.06/17,699.06 = 17,699.06/x
  3. Step 3: Cross multiply
    13,136.06x = 17,699.06 × 17,699.06
  4. Step 4: Simplify right side
    13,136.06x = 313,256,813.38
  5. Step 5: Solve for x
    x = 313,256,813.38/13,136.06
  6. Step 6: Final answer
    x = 23,847.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.