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Finding the Third Proportional to 8,742.75 and 18,867.75

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Solution

The third proportional to 8,742.75 and 18,867.75 is: 40,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.75 : 18,867.75 = 18,867.75 : x
  2. Step 2: Convert to fraction form
    8,742.75/18,867.75 = 18,867.75/x
  3. Step 3: Cross multiply
    8,742.75x = 18,867.75 × 18,867.75
  4. Step 4: Simplify right side
    8,742.75x = 355,991,990.06
  5. Step 5: Solve for x
    x = 355,991,990.06/8,742.75
  6. Step 6: Final answer
    x = 40,718.54

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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.