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Finding the Third Proportional to 11,276.72 and 23,783.63

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Solution

The third proportional to 11,276.72 and 23,783.63 is: 50,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.72 : 23,783.63 = 23,783.63 : x
  2. Step 2: Convert to fraction form
    11,276.72/23,783.63 = 23,783.63/x
  3. Step 3: Cross multiply
    11,276.72x = 23,783.63 × 23,783.63
  4. Step 4: Simplify right side
    11,276.72x = 565,660,818.14
  5. Step 5: Solve for x
    x = 565,660,818.14/11,276.72
  6. Step 6: Final answer
    x = 50,161.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.