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Finding the Third Proportional to 39,231.38 and 84,980.63

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Solution

The third proportional to 39,231.38 and 84,980.63 is: 184,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,231.38 : 84,980.63 = 84,980.63 : x
  2. Step 2: Convert to fraction form
    39,231.38/84,980.63 = 84,980.63/x
  3. Step 3: Cross multiply
    39,231.38x = 84,980.63 × 84,980.63
  4. Step 4: Simplify right side
    39,231.38x = 7,221,706,625.39
  5. Step 5: Solve for x
    x = 7,221,706,625.39/39,231.38
  6. Step 6: Final answer
    x = 184,079.88

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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.