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Finding the Third Proportional to 17,136 and 25,200

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Solution

The third proportional to 17,136 and 25,200 is: 37,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136 : 25,200 = 25,200 : x
  2. Step 2: Convert to fraction form
    17,136/25,200 = 25,200/x
  3. Step 3: Cross multiply
    17,136x = 25,200 × 25,200
  4. Step 4: Simplify right side
    17,136x = 635,040,000
  5. Step 5: Solve for x
    x = 635,040,000/17,136
  6. Step 6: Final answer
    x = 37,058.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.