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Finding the Third Proportional to 11,051.75 and 15,622.24

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Solution

The third proportional to 11,051.75 and 15,622.24 is: 22,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.75 : 15,622.24 = 15,622.24 : x
  2. Step 2: Convert to fraction form
    11,051.75/15,622.24 = 15,622.24/x
  3. Step 3: Cross multiply
    11,051.75x = 15,622.24 × 15,622.24
  4. Step 4: Simplify right side
    11,051.75x = 244,054,450.96
  5. Step 5: Solve for x
    x = 244,054,450.96/11,051.75
  6. Step 6: Final answer
    x = 22,082.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.