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Finding the Third Proportional to 11,884.69 and 17,790.02

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Solution

The third proportional to 11,884.69 and 17,790.02 is: 26,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.69 : 17,790.02 = 17,790.02 : x
  2. Step 2: Convert to fraction form
    11,884.69/17,790.02 = 17,790.02/x
  3. Step 3: Cross multiply
    11,884.69x = 17,790.02 × 17,790.02
  4. Step 4: Simplify right side
    11,884.69x = 316,484,829.67
  5. Step 5: Solve for x
    x = 316,484,829.67/11,884.69
  6. Step 6: Final answer
    x = 26,629.62

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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.