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Finding the Third Proportional to 13,174 and 17,748

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Solution

The third proportional to 13,174 and 17,748 is: 23,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174 : 17,748 = 17,748 : x
  2. Step 2: Convert to fraction form
    13,174/17,748 = 17,748/x
  3. Step 3: Cross multiply
    13,174x = 17,748 × 17,748
  4. Step 4: Simplify right side
    13,174x = 314,991,504
  5. Step 5: Solve for x
    x = 314,991,504/13,174
  6. Step 6: Final answer
    x = 23,910.09

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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.