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Finding the Third Proportional to 18,136 and 27,317

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Solution

The third proportional to 18,136 and 27,317 is: 41,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136 : 27,317 = 27,317 : x
  2. Step 2: Convert to fraction form
    18,136/27,317 = 27,317/x
  3. Step 3: Cross multiply
    18,136x = 27,317 × 27,317
  4. Step 4: Simplify right side
    18,136x = 746,218,489
  5. Step 5: Solve for x
    x = 746,218,489/18,136
  6. Step 6: Final answer
    x = 41,145.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.