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Finding the Third Proportional to 10,980 and 12,168

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Solution

The third proportional to 10,980 and 12,168 is: 13,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980 : 12,168 = 12,168 : x
  2. Step 2: Convert to fraction form
    10,980/12,168 = 12,168/x
  3. Step 3: Cross multiply
    10,980x = 12,168 × 12,168
  4. Step 4: Simplify right side
    10,980x = 148,060,224
  5. Step 5: Solve for x
    x = 148,060,224/10,980
  6. Step 6: Final answer
    x = 13,484.54

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.