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Finding the Third Proportional to 18,785.25 and 27,411.75

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Solution

The third proportional to 18,785.25 and 27,411.75 is: 39,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785.25 : 27,411.75 = 27,411.75 : x
  2. Step 2: Convert to fraction form
    18,785.25/27,411.75 = 27,411.75/x
  3. Step 3: Cross multiply
    18,785.25x = 27,411.75 × 27,411.75
  4. Step 4: Simplify right side
    18,785.25x = 751,404,038.06
  5. Step 5: Solve for x
    x = 751,404,038.06/18,785.25
  6. Step 6: Final answer
    x = 39,999.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.