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Finding the Third Proportional to 8,499.75 and 18,680.25

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Solution

The third proportional to 8,499.75 and 18,680.25 is: 41,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.75 : 18,680.25 = 18,680.25 : x
  2. Step 2: Convert to fraction form
    8,499.75/18,680.25 = 18,680.25/x
  3. Step 3: Cross multiply
    8,499.75x = 18,680.25 × 18,680.25
  4. Step 4: Simplify right side
    8,499.75x = 348,951,740.06
  5. Step 5: Solve for x
    x = 348,951,740.06/8,499.75
  6. Step 6: Final answer
    x = 41,054.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.