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Finding the Third Proportional to 11,429 and 17,175

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Solution

The third proportional to 11,429 and 17,175 is: 25,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429 : 17,175 = 17,175 : x
  2. Step 2: Convert to fraction form
    11,429/17,175 = 17,175/x
  3. Step 3: Cross multiply
    11,429x = 17,175 × 17,175
  4. Step 4: Simplify right side
    11,429x = 294,980,625
  5. Step 5: Solve for x
    x = 294,980,625/11,429
  6. Step 6: Final answer
    x = 25,809.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.