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Finding the Third Proportional to 13,012 and 17,446

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Solution

The third proportional to 13,012 and 17,446 is: 23,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012 : 17,446 = 17,446 : x
  2. Step 2: Convert to fraction form
    13,012/17,446 = 17,446/x
  3. Step 3: Cross multiply
    13,012x = 17,446 × 17,446
  4. Step 4: Simplify right side
    13,012x = 304,362,916
  5. Step 5: Solve for x
    x = 304,362,916/13,012
  6. Step 6: Final answer
    x = 23,390.94

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.