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Finding the Third Proportional to 10,980 and 17,112

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Solution

The third proportional to 10,980 and 17,112 is: 26,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980 : 17,112 = 17,112 : x
  2. Step 2: Convert to fraction form
    10,980/17,112 = 17,112/x
  3. Step 3: Cross multiply
    10,980x = 17,112 × 17,112
  4. Step 4: Simplify right side
    10,980x = 292,820,544
  5. Step 5: Solve for x
    x = 292,820,544/10,980
  6. Step 6: Final answer
    x = 26,668.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.