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Finding the Third Proportional to 5,321.81 and 11,564.44

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Solution

The third proportional to 5,321.81 and 11,564.44 is: 25,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.81 : 11,564.44 = 11,564.44 : x
  2. Step 2: Convert to fraction form
    5,321.81/11,564.44 = 11,564.44/x
  3. Step 3: Cross multiply
    5,321.81x = 11,564.44 × 11,564.44
  4. Step 4: Simplify right side
    5,321.81x = 133,736,214.69
  5. Step 5: Solve for x
    x = 133,736,214.69/5,321.81
  6. Step 6: Final answer
    x = 25,129.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.