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Finding the Third Proportional to 17,858.25 and 27,807.75

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Solution

The third proportional to 17,858.25 and 27,807.75 is: 43,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.25 : 27,807.75 = 27,807.75 : x
  2. Step 2: Convert to fraction form
    17,858.25/27,807.75 = 27,807.75/x
  3. Step 3: Cross multiply
    17,858.25x = 27,807.75 × 27,807.75
  4. Step 4: Simplify right side
    17,858.25x = 773,270,960.06
  5. Step 5: Solve for x
    x = 773,270,960.06/17,858.25
  6. Step 6: Final answer
    x = 43,300.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.