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Finding the Third Proportional to 8,769.25 and 13,414.88

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Solution

The third proportional to 8,769.25 and 13,414.88 is: 20,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.25 : 13,414.88 = 13,414.88 : x
  2. Step 2: Convert to fraction form
    8,769.25/13,414.88 = 13,414.88/x
  3. Step 3: Cross multiply
    8,769.25x = 13,414.88 × 13,414.88
  4. Step 4: Simplify right side
    8,769.25x = 179,958,871.27
  5. Step 5: Solve for x
    x = 179,958,871.27/8,769.25
  6. Step 6: Final answer
    x = 20,521.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.