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Finding the Third Proportional to 11,745 and 18,208.13

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Solution

The third proportional to 11,745 and 18,208.13 is: 28,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 18,208.13 = 18,208.13 : x
  2. Step 2: Convert to fraction form
    11,745/18,208.13 = 18,208.13/x
  3. Step 3: Cross multiply
    11,745x = 18,208.13 × 18,208.13
  4. Step 4: Simplify right side
    11,745x = 331,535,816.02
  5. Step 5: Solve for x
    x = 331,535,816.02/11,745
  6. Step 6: Final answer
    x = 28,227.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.