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Finding the Third Proportional to 11,945.81 and 16,712.16

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Solution

The third proportional to 11,945.81 and 16,712.16 is: 23,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.81 : 16,712.16 = 16,712.16 : x
  2. Step 2: Convert to fraction form
    11,945.81/16,712.16 = 16,712.16/x
  3. Step 3: Cross multiply
    11,945.81x = 16,712.16 × 16,712.16
  4. Step 4: Simplify right side
    11,945.81x = 279,296,166.52
  5. Step 5: Solve for x
    x = 279,296,166.52/11,945.81
  6. Step 6: Final answer
    x = 23,380.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.