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Finding the Third Proportional to 38,972.25 and 84,165.75

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Solution

The third proportional to 38,972.25 and 84,165.75 is: 181,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.25 : 84,165.75 = 84,165.75 : x
  2. Step 2: Convert to fraction form
    38,972.25/84,165.75 = 84,165.75/x
  3. Step 3: Cross multiply
    38,972.25x = 84,165.75 × 84,165.75
  4. Step 4: Simplify right side
    38,972.25x = 7,083,873,473.06
  5. Step 5: Solve for x
    x = 7,083,873,473.06/38,972.25
  6. Step 6: Final answer
    x = 181,767.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.