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Finding the Third Proportional to 11,201.63 and 22,096.13

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Solution

The third proportional to 11,201.63 and 22,096.13 is: 43,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.63 : 22,096.13 = 22,096.13 : x
  2. Step 2: Convert to fraction form
    11,201.63/22,096.13 = 22,096.13/x
  3. Step 3: Cross multiply
    11,201.63x = 22,096.13 × 22,096.13
  4. Step 4: Simplify right side
    11,201.63x = 488,238,740.02
  5. Step 5: Solve for x
    x = 488,238,740.02/11,201.63
  6. Step 6: Final answer
    x = 43,586.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.