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Finding the Third Proportional to 7,757.44 and 16,744.88

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Solution

The third proportional to 7,757.44 and 16,744.88 is: 36,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.44 : 16,744.88 = 16,744.88 : x
  2. Step 2: Convert to fraction form
    7,757.44/16,744.88 = 16,744.88/x
  3. Step 3: Cross multiply
    7,757.44x = 16,744.88 × 16,744.88
  4. Step 4: Simplify right side
    7,757.44x = 280,390,838.77
  5. Step 5: Solve for x
    x = 280,390,838.77/7,757.44
  6. Step 6: Final answer
    x = 36,144.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.