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Finding the Third Proportional to 18,205.75 and 27,475.75

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Solution

The third proportional to 18,205.75 and 27,475.75 is: 41,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.75 : 27,475.75 = 27,475.75 : x
  2. Step 2: Convert to fraction form
    18,205.75/27,475.75 = 27,475.75/x
  3. Step 3: Cross multiply
    18,205.75x = 27,475.75 × 27,475.75
  4. Step 4: Simplify right side
    18,205.75x = 754,916,838.06
  5. Step 5: Solve for x
    x = 754,916,838.06/18,205.75
  6. Step 6: Final answer
    x = 41,465.85

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