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Finding the Third Proportional to 19,205.50 and 28,808.75

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Solution

The third proportional to 19,205.50 and 28,808.75 is: 43,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.50 : 28,808.75 = 28,808.75 : x
  2. Step 2: Convert to fraction form
    19,205.50/28,808.75 = 28,808.75/x
  3. Step 3: Cross multiply
    19,205.50x = 28,808.75 × 28,808.75
  4. Step 4: Simplify right side
    19,205.50x = 829,944,076.56
  5. Step 5: Solve for x
    x = 829,944,076.56/19,205.50
  6. Step 6: Final answer
    x = 43,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.