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Finding the Third Proportional to 10,780.75 and 16,104.75

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Solution

The third proportional to 10,780.75 and 16,104.75 is: 24,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.75 : 16,104.75 = 16,104.75 : x
  2. Step 2: Convert to fraction form
    10,780.75/16,104.75 = 16,104.75/x
  3. Step 3: Cross multiply
    10,780.75x = 16,104.75 × 16,104.75
  4. Step 4: Simplify right side
    10,780.75x = 259,362,972.56
  5. Step 5: Solve for x
    x = 259,362,972.56/10,780.75
  6. Step 6: Final answer
    x = 24,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.