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Finding the Third Proportional to 17,952 and 25,200

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Solution

The third proportional to 17,952 and 25,200 is: 35,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 25,200 = 25,200 : x
  2. Step 2: Convert to fraction form
    17,952/25,200 = 25,200/x
  3. Step 3: Cross multiply
    17,952x = 25,200 × 25,200
  4. Step 4: Simplify right side
    17,952x = 635,040,000
  5. Step 5: Solve for x
    x = 635,040,000/17,952
  6. Step 6: Final answer
    x = 35,374.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.