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Finding the Third Proportional to 5,358.66 and 11,769.05

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Solution

The third proportional to 5,358.66 and 11,769.05 is: 25,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.66 : 11,769.05 = 11,769.05 : x
  2. Step 2: Convert to fraction form
    5,358.66/11,769.05 = 11,769.05/x
  3. Step 3: Cross multiply
    5,358.66x = 11,769.05 × 11,769.05
  4. Step 4: Simplify right side
    5,358.66x = 138,510,464.35
  5. Step 5: Solve for x
    x = 138,510,464.35/5,358.66
  6. Step 6: Final answer
    x = 25,847.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.