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Finding the Third Proportional to 11,846.81 and 17,800.59

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Solution

The third proportional to 11,846.81 and 17,800.59 is: 26,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.81 : 17,800.59 = 17,800.59 : x
  2. Step 2: Convert to fraction form
    11,846.81/17,800.59 = 17,800.59/x
  3. Step 3: Cross multiply
    11,846.81x = 17,800.59 × 17,800.59
  4. Step 4: Simplify right side
    11,846.81x = 316,861,137.85
  5. Step 5: Solve for x
    x = 316,861,137.85/11,846.81
  6. Step 6: Final answer
    x = 26,746.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.