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Finding the Third Proportional to 11,141.72 and 22,465.69

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Solution

The third proportional to 11,141.72 and 22,465.69 is: 45,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.72 : 22,465.69 = 22,465.69 : x
  2. Step 2: Convert to fraction form
    11,141.72/22,465.69 = 22,465.69/x
  3. Step 3: Cross multiply
    11,141.72x = 22,465.69 × 22,465.69
  4. Step 4: Simplify right side
    11,141.72x = 504,707,114.85
  5. Step 5: Solve for x
    x = 504,707,114.85/11,141.72
  6. Step 6: Final answer
    x = 45,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.