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Finding the Third Proportional to 11,999.81 and 16,055.72

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Solution

The third proportional to 11,999.81 and 16,055.72 is: 21,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.81 : 16,055.72 = 16,055.72 : x
  2. Step 2: Convert to fraction form
    11,999.81/16,055.72 = 16,055.72/x
  3. Step 3: Cross multiply
    11,999.81x = 16,055.72 × 16,055.72
  4. Step 4: Simplify right side
    11,999.81x = 257,786,104.58
  5. Step 5: Solve for x
    x = 257,786,104.58/11,999.81
  6. Step 6: Final answer
    x = 21,482.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.