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Finding the Third Proportional to 39,017.25 and 84,179.25

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Solution

The third proportional to 39,017.25 and 84,179.25 is: 181,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,017.25 : 84,179.25 = 84,179.25 : x
  2. Step 2: Convert to fraction form
    39,017.25/84,179.25 = 84,179.25/x
  3. Step 3: Cross multiply
    39,017.25x = 84,179.25 × 84,179.25
  4. Step 4: Simplify right side
    39,017.25x = 7,086,146,130.56
  5. Step 5: Solve for x
    x = 7,086,146,130.56/39,017.25
  6. Step 6: Final answer
    x = 181,615.72

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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.