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Finding the Third Proportional to 11,195.72 and 23,302.69

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Solution

The third proportional to 11,195.72 and 23,302.69 is: 48,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.72 : 23,302.69 = 23,302.69 : x
  2. Step 2: Convert to fraction form
    11,195.72/23,302.69 = 23,302.69/x
  3. Step 3: Cross multiply
    11,195.72x = 23,302.69 × 23,302.69
  4. Step 4: Simplify right side
    11,195.72x = 543,015,244.72
  5. Step 5: Solve for x
    x = 543,015,244.72/11,195.72
  6. Step 6: Final answer
    x = 48,502.04

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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.