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Finding the Third Proportional to 11,705.81 and 18,343.13

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Solution

The third proportional to 11,705.81 and 18,343.13 is: 28,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.81 : 18,343.13 = 18,343.13 : x
  2. Step 2: Convert to fraction form
    11,705.81/18,343.13 = 18,343.13/x
  3. Step 3: Cross multiply
    11,705.81x = 18,343.13 × 18,343.13
  4. Step 4: Simplify right side
    11,705.81x = 336,470,234.77
  5. Step 5: Solve for x
    x = 336,470,234.77/11,705.81
  6. Step 6: Final answer
    x = 28,743.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.