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Finding the Third Proportional to 11,174.63 and 23,267.81

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Solution

The third proportional to 11,174.63 and 23,267.81 is: 48,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.63 : 23,267.81 = 23,267.81 : x
  2. Step 2: Convert to fraction form
    11,174.63/23,267.81 = 23,267.81/x
  3. Step 3: Cross multiply
    11,174.63x = 23,267.81 × 23,267.81
  4. Step 4: Simplify right side
    11,174.63x = 541,391,098.54
  5. Step 5: Solve for x
    x = 541,391,098.54/11,174.63
  6. Step 6: Final answer
    x = 48,448.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.