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Finding the Third Proportional to 18,513.75 and 27,933.75

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Solution

The third proportional to 18,513.75 and 27,933.75 is: 42,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.75 : 27,933.75 = 27,933.75 : x
  2. Step 2: Convert to fraction form
    18,513.75/27,933.75 = 27,933.75/x
  3. Step 3: Cross multiply
    18,513.75x = 27,933.75 × 27,933.75
  4. Step 4: Simplify right side
    18,513.75x = 780,294,389.06
  5. Step 5: Solve for x
    x = 780,294,389.06/18,513.75
  6. Step 6: Final answer
    x = 42,146.75

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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.