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Finding the Third Proportional to 11,769 and 20,749.50

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Solution

The third proportional to 11,769 and 20,749.50 is: 36,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769 : 20,749.50 = 20,749.50 : x
  2. Step 2: Convert to fraction form
    11,769/20,749.50 = 20,749.50/x
  3. Step 3: Cross multiply
    11,769x = 20,749.50 × 20,749.50
  4. Step 4: Simplify right side
    11,769x = 430,541,750.25
  5. Step 5: Solve for x
    x = 430,541,750.25/11,769
  6. Step 6: Final answer
    x = 36,582.70

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.