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Finding the Third Proportional to 5,399.16 and 11,776.96

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Solution

The third proportional to 5,399.16 and 11,776.96 is: 25,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.16 : 11,776.96 = 11,776.96 : x
  2. Step 2: Convert to fraction form
    5,399.16/11,776.96 = 11,776.96/x
  3. Step 3: Cross multiply
    5,399.16x = 11,776.96 × 11,776.96
  4. Step 4: Simplify right side
    5,399.16x = 138,696,716.92
  5. Step 5: Solve for x
    x = 138,696,716.92/5,399.16
  6. Step 6: Final answer
    x = 25,688.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.