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Finding the Third Proportional to 17,528.25 and 37,971.75

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Solution

The third proportional to 17,528.25 and 37,971.75 is: 82,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528.25 : 37,971.75 = 37,971.75 : x
  2. Step 2: Convert to fraction form
    17,528.25/37,971.75 = 37,971.75/x
  3. Step 3: Cross multiply
    17,528.25x = 37,971.75 × 37,971.75
  4. Step 4: Simplify right side
    17,528.25x = 1,441,853,798.06
  5. Step 5: Solve for x
    x = 1,441,853,798.06/17,528.25
  6. Step 6: Final answer
    x = 82,258.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.