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Finding the Third Proportional to 11,874.94 and 18,802.69

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Solution

The third proportional to 11,874.94 and 18,802.69 is: 29,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.94 : 18,802.69 = 18,802.69 : x
  2. Step 2: Convert to fraction form
    11,874.94/18,802.69 = 18,802.69/x
  3. Step 3: Cross multiply
    11,874.94x = 18,802.69 × 18,802.69
  4. Step 4: Simplify right side
    11,874.94x = 353,541,057.22
  5. Step 5: Solve for x
    x = 353,541,057.22/11,874.94
  6. Step 6: Final answer
    x = 29,772.04

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.