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Finding the Third Proportional to 10,140 and 11,994

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Solution

The third proportional to 10,140 and 11,994 is: 14,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 11,994 = 11,994 : x
  2. Step 2: Convert to fraction form
    10,140/11,994 = 11,994/x
  3. Step 3: Cross multiply
    10,140x = 11,994 × 11,994
  4. Step 4: Simplify right side
    10,140x = 143,856,036
  5. Step 5: Solve for x
    x = 143,856,036/10,140
  6. Step 6: Final answer
    x = 14,186.99

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.