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Finding the Third Proportional to 8,743.73 and 13,181.80

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Solution

The third proportional to 8,743.73 and 13,181.80 is: 19,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.73 : 13,181.80 = 13,181.80 : x
  2. Step 2: Convert to fraction form
    8,743.73/13,181.80 = 13,181.80/x
  3. Step 3: Cross multiply
    8,743.73x = 13,181.80 × 13,181.80
  4. Step 4: Simplify right side
    8,743.73x = 173,759,871.84
  5. Step 5: Solve for x
    x = 173,759,871.84/8,743.73
  6. Step 6: Final answer
    x = 19,872.51

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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.