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Finding the Third Proportional to 20,769 and 42,757.50

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Solution

The third proportional to 20,769 and 42,757.50 is: 88,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 42,757.50 = 42,757.50 : x
  2. Step 2: Convert to fraction form
    20,769/42,757.50 = 42,757.50/x
  3. Step 3: Cross multiply
    20,769x = 42,757.50 × 42,757.50
  4. Step 4: Simplify right side
    20,769x = 1,828,203,806.25
  5. Step 5: Solve for x
    x = 1,828,203,806.25/20,769
  6. Step 6: Final answer
    x = 88,025.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.