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Finding the Third Proportional to 11,772.84 and 17,766.84

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Solution

The third proportional to 11,772.84 and 17,766.84 is: 26,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.84 : 17,766.84 = 17,766.84 : x
  2. Step 2: Convert to fraction form
    11,772.84/17,766.84 = 17,766.84/x
  3. Step 3: Cross multiply
    11,772.84x = 17,766.84 × 17,766.84
  4. Step 4: Simplify right side
    11,772.84x = 315,660,736.84
  5. Step 5: Solve for x
    x = 315,660,736.84/11,772.84
  6. Step 6: Final answer
    x = 26,812.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.