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Finding the Third Proportional to 8,613.75 and 12,419.25

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Solution

The third proportional to 8,613.75 and 12,419.25 is: 17,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.75 : 12,419.25 = 12,419.25 : x
  2. Step 2: Convert to fraction form
    8,613.75/12,419.25 = 12,419.25/x
  3. Step 3: Cross multiply
    8,613.75x = 12,419.25 × 12,419.25
  4. Step 4: Simplify right side
    8,613.75x = 154,237,770.56
  5. Step 5: Solve for x
    x = 154,237,770.56/8,613.75
  6. Step 6: Final answer
    x = 17,906.00

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.