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Finding the Third Proportional to 38,965.50 and 84,489.75

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Solution

The third proportional to 38,965.50 and 84,489.75 is: 183,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.50 : 84,489.75 = 84,489.75 : x
  2. Step 2: Convert to fraction form
    38,965.50/84,489.75 = 84,489.75/x
  3. Step 3: Cross multiply
    38,965.50x = 84,489.75 × 84,489.75
  4. Step 4: Simplify right side
    38,965.50x = 7,138,517,855.06
  5. Step 5: Solve for x
    x = 7,138,517,855.06/38,965.50
  6. Step 6: Final answer
    x = 183,200.98

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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.