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Finding the Third Proportional to 18,206.75 and 27,477.13

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Solution

The third proportional to 18,206.75 and 27,477.13 is: 41,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.75 : 27,477.13 = 27,477.13 : x
  2. Step 2: Convert to fraction form
    18,206.75/27,477.13 = 27,477.13/x
  3. Step 3: Cross multiply
    18,206.75x = 27,477.13 × 27,477.13
  4. Step 4: Simplify right side
    18,206.75x = 754,992,398.27
  5. Step 5: Solve for x
    x = 754,992,398.27/18,206.75
  6. Step 6: Final answer
    x = 41,467.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.