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Finding the Third Proportional to 11,562.75 and 21,773.81

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Solution

The third proportional to 11,562.75 and 21,773.81 is: 41,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 21,773.81 = 21,773.81 : x
  2. Step 2: Convert to fraction form
    11,562.75/21,773.81 = 21,773.81/x
  3. Step 3: Cross multiply
    11,562.75x = 21,773.81 × 21,773.81
  4. Step 4: Simplify right side
    11,562.75x = 474,098,910.79
  5. Step 5: Solve for x
    x = 474,098,910.79/11,562.75
  6. Step 6: Final answer
    x = 41,002.26

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.