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Finding the Third Proportional to 12,996 and 15,012

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Solution

The third proportional to 12,996 and 15,012 is: 17,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 15,012 = 15,012 : x
  2. Step 2: Convert to fraction form
    12,996/15,012 = 15,012/x
  3. Step 3: Cross multiply
    12,996x = 15,012 × 15,012
  4. Step 4: Simplify right side
    12,996x = 225,360,144
  5. Step 5: Solve for x
    x = 225,360,144/12,996
  6. Step 6: Final answer
    x = 17,340.73

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.