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Finding the Third Proportional to 11,357.09 and 23,280.86

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Solution

The third proportional to 11,357.09 and 23,280.86 is: 47,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.09 : 23,280.86 = 23,280.86 : x
  2. Step 2: Convert to fraction form
    11,357.09/23,280.86 = 23,280.86/x
  3. Step 3: Cross multiply
    11,357.09x = 23,280.86 × 23,280.86
  4. Step 4: Simplify right side
    11,357.09x = 541,998,231.36
  5. Step 5: Solve for x
    x = 541,998,231.36/11,357.09
  6. Step 6: Final answer
    x = 47,723.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.